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Finding the Fourth Proportional to 2,909.84, 4,338.96 and 2,564.48

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Solution

The fourth proportional to 2,909.84, 4,338.96 and 2,564.48 is: 3,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.84 : 4,338.96 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    2,909.84/4,338.96 = 2,564.48/x
  3. Step 3: Cross multiply
    2,909.84x = 4,338.96 × 2,564.48
  4. Step 4: Simplify right side
    2,909.84x = 11,127,176.14
  5. Step 5: Solve for x
    x = 11,127,176.14/2,909.84
  6. Step 6: Final answer
    x = 3,823.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.