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Finding the Fourth Proportional to 12,130.62, 16,744.68 and 7,657.31

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Solution

The fourth proportional to 12,130.62, 16,744.68 and 7,657.31 is: 10,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.62 : 16,744.68 = 7,657.31 : x
  2. Step 2: Convert to fraction form
    12,130.62/16,744.68 = 7,657.31/x
  3. Step 3: Cross multiply
    12,130.62x = 16,744.68 × 7,657.31
  4. Step 4: Simplify right side
    12,130.62x = 128,219,121.89
  5. Step 5: Solve for x
    x = 128,219,121.89/12,130.62
  6. Step 6: Final answer
    x = 10,569.87

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1.5x scale

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.