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Finding the Fourth Proportional to 39,964, 59,948.88 and 15,340

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Solution

The fourth proportional to 39,964, 59,948.88 and 15,340 is: 23,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,964 : 59,948.88 = 15,340 : x
  2. Step 2: Convert to fraction form
    39,964/59,948.88 = 15,340/x
  3. Step 3: Cross multiply
    39,964x = 59,948.88 × 15,340
  4. Step 4: Simplify right side
    39,964x = 919,615,819.20
  5. Step 5: Solve for x
    x = 919,615,819.20/39,964
  6. Step 6: Final answer
    x = 23,011.11

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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.