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Finding the Fourth Proportional to 8,705.50, 12,966.53 and 8,523.25

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Solution

The fourth proportional to 8,705.50, 12,966.53 and 8,523.25 is: 12,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.50 : 12,966.53 = 8,523.25 : x
  2. Step 2: Convert to fraction form
    8,705.50/12,966.53 = 8,523.25/x
  3. Step 3: Cross multiply
    8,705.50x = 12,966.53 × 8,523.25
  4. Step 4: Simplify right side
    8,705.50x = 110,516,901.79
  5. Step 5: Solve for x
    x = 110,516,901.79/8,705.50
  6. Step 6: Final answer
    x = 12,695.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.