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Finding the Fourth Proportional to 14,681, 20,259.78 and 8,057

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Solution

The fourth proportional to 14,681, 20,259.78 and 8,057 is: 11,118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681 : 20,259.78 = 8,057 : x
  2. Step 2: Convert to fraction form
    14,681/20,259.78 = 8,057/x
  3. Step 3: Cross multiply
    14,681x = 20,259.78 × 8,057
  4. Step 4: Simplify right side
    14,681x = 163,233,047.46
  5. Step 5: Solve for x
    x = 163,233,047.46/14,681
  6. Step 6: Final answer
    x = 11,118.66

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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.