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Finding the Fourth Proportional to 19,957.20, 29,935.80 and 17,710.80

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Solution

The fourth proportional to 19,957.20, 29,935.80 and 17,710.80 is: 26,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.20 : 29,935.80 = 17,710.80 : x
  2. Step 2: Convert to fraction form
    19,957.20/29,935.80 = 17,710.80/x
  3. Step 3: Cross multiply
    19,957.20x = 29,935.80 × 17,710.80
  4. Step 4: Simplify right side
    19,957.20x = 530,186,966.64
  5. Step 5: Solve for x
    x = 530,186,966.64/19,957.20
  6. Step 6: Final answer
    x = 26,566.20

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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.