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Finding the Fourth Proportional to 19,756.90, 29,605.47 and 8,657.38

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Solution

The fourth proportional to 19,756.90, 29,605.47 and 8,657.38 is: 12,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.90 : 29,605.47 = 8,657.38 : x
  2. Step 2: Convert to fraction form
    19,756.90/29,605.47 = 8,657.38/x
  3. Step 3: Cross multiply
    19,756.90x = 29,605.47 × 8,657.38
  4. Step 4: Simplify right side
    19,756.90x = 256,305,803.87
  5. Step 5: Solve for x
    x = 256,305,803.87/19,756.90
  6. Step 6: Final answer
    x = 12,972.98

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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.