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Finding the Fourth Proportional to 39,716.40, 59,459.40 and 38,564.40

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Solution

The fourth proportional to 39,716.40, 59,459.40 and 38,564.40 is: 57,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716.40 : 59,459.40 = 38,564.40 : x
  2. Step 2: Convert to fraction form
    39,716.40/59,459.40 = 38,564.40/x
  3. Step 3: Cross multiply
    39,716.40x = 59,459.40 × 38,564.40
  4. Step 4: Simplify right side
    39,716.40x = 2,293,016,085.36
  5. Step 5: Solve for x
    x = 2,293,016,085.36/39,716.40
  6. Step 6: Final answer
    x = 57,734.74

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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.