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Finding the Fourth Proportional to 2,430.45, 3,646.08 and 786.83

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Solution

The fourth proportional to 2,430.45, 3,646.08 and 786.83 is: 1,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.45 : 3,646.08 = 786.83 : x
  2. Step 2: Convert to fraction form
    2,430.45/3,646.08 = 786.83/x
  3. Step 3: Cross multiply
    2,430.45x = 3,646.08 × 786.83
  4. Step 4: Simplify right side
    2,430.45x = 2,868,826.90
  5. Step 5: Solve for x
    x = 2,868,826.90/2,430.45
  6. Step 6: Final answer
    x = 1,180.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.