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Finding the Fourth Proportional to 37,776, 52,130.88 and 21,008.64

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Solution

The fourth proportional to 37,776, 52,130.88 and 21,008.64 is: 28,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776 : 52,130.88 = 21,008.64 : x
  2. Step 2: Convert to fraction form
    37,776/52,130.88 = 21,008.64/x
  3. Step 3: Cross multiply
    37,776x = 52,130.88 × 21,008.64
  4. Step 4: Simplify right side
    37,776x = 1,095,198,890.80
  5. Step 5: Solve for x
    x = 1,095,198,890.80/37,776
  6. Step 6: Final answer
    x = 28,991.92

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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.