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Finding the Fourth Proportional to 51,708, 77,562 and 16,651.20

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Solution

The fourth proportional to 51,708, 77,562 and 16,651.20 is: 24,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,708 : 77,562 = 16,651.20 : x
  2. Step 2: Convert to fraction form
    51,708/77,562 = 16,651.20/x
  3. Step 3: Cross multiply
    51,708x = 77,562 × 16,651.20
  4. Step 4: Simplify right side
    51,708x = 1,291,500,374.40
  5. Step 5: Solve for x
    x = 1,291,500,374.40/51,708
  6. Step 6: Final answer
    x = 24,976.80

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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.