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Finding the Fourth Proportional to 3,711.84, 5,088.64 and 3,646.24

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Solution

The fourth proportional to 3,711.84, 5,088.64 and 3,646.24 is: 4,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.84 : 5,088.64 = 3,646.24 : x
  2. Step 2: Convert to fraction form
    3,711.84/5,088.64 = 3,646.24/x
  3. Step 3: Cross multiply
    3,711.84x = 5,088.64 × 3,646.24
  4. Step 4: Simplify right side
    3,711.84x = 18,554,402.71
  5. Step 5: Solve for x
    x = 18,554,402.71/3,711.84
  6. Step 6: Final answer
    x = 4,998.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.