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Finding the Fourth Proportional to 12,130.12, 16,744 and 7,656.80

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Solution

The fourth proportional to 12,130.12, 16,744 and 7,656.80 is: 10,569.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.12 : 16,744 = 7,656.80 : x
  2. Step 2: Convert to fraction form
    12,130.12/16,744 = 7,656.80/x
  3. Step 3: Cross multiply
    12,130.12x = 16,744 × 7,656.80
  4. Step 4: Simplify right side
    12,130.12x = 128,205,459.20
  5. Step 5: Solve for x
    x = 128,205,459.20/12,130.12
  6. Step 6: Final answer
    x = 10,569.18

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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.