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Finding the Fourth Proportional to 12,946.60, 17,856.84 and 8,463.16

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Solution

The fourth proportional to 12,946.60, 17,856.84 and 8,463.16 is: 11,672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.60 : 17,856.84 = 8,463.16 : x
  2. Step 2: Convert to fraction form
    12,946.60/17,856.84 = 8,463.16/x
  3. Step 3: Cross multiply
    12,946.60x = 17,856.84 × 8,463.16
  4. Step 4: Simplify right side
    12,946.60x = 151,125,294.01
  5. Step 5: Solve for x
    x = 151,125,294.01/12,946.60
  6. Step 6: Final answer
    x = 11,672.97

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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.