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Finding the Fourth Proportional to 12,165.89, 16,788.93 and 7,129.10

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Solution

The fourth proportional to 12,165.89, 16,788.93 and 7,129.10 is: 9,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.89 : 16,788.93 = 7,129.10 : x
  2. Step 2: Convert to fraction form
    12,165.89/16,788.93 = 7,129.10/x
  3. Step 3: Cross multiply
    12,165.89x = 16,788.93 × 7,129.10
  4. Step 4: Simplify right side
    12,165.89x = 119,689,876.92
  5. Step 5: Solve for x
    x = 119,689,876.92/12,165.89
  6. Step 6: Final answer
    x = 9,838.16

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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.