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Finding the Fourth Proportional to 28,960, 39,964.80 and 15,712

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Solution

The fourth proportional to 28,960, 39,964.80 and 15,712 is: 21,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,960 : 39,964.80 = 15,712 : x
  2. Step 2: Convert to fraction form
    28,960/39,964.80 = 15,712/x
  3. Step 3: Cross multiply
    28,960x = 39,964.80 × 15,712
  4. Step 4: Simplify right side
    28,960x = 627,926,937.60
  5. Step 5: Solve for x
    x = 627,926,937.60/28,960
  6. Step 6: Final answer
    x = 21,682.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.