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Finding the Fourth Proportional to 2,430.84, 3,354.84 and 1,646.76

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Solution

The fourth proportional to 2,430.84, 3,354.84 and 1,646.76 is: 2,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.84 : 3,354.84 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    2,430.84/3,354.84 = 1,646.76/x
  3. Step 3: Cross multiply
    2,430.84x = 3,354.84 × 1,646.76
  4. Step 4: Simplify right side
    2,430.84x = 5,524,616.32
  5. Step 5: Solve for x
    x = 5,524,616.32/2,430.84
  6. Step 6: Final answer
    x = 2,272.72

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.