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Finding the Fourth Proportional to 8,601.60, 12,897.60 and 4,657.56

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Solution

The fourth proportional to 8,601.60, 12,897.60 and 4,657.56 is: 6,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.60 : 12,897.60 = 4,657.56 : x
  2. Step 2: Convert to fraction form
    8,601.60/12,897.60 = 4,657.56/x
  3. Step 3: Cross multiply
    8,601.60x = 12,897.60 × 4,657.56
  4. Step 4: Simplify right side
    8,601.60x = 60,071,345.86
  5. Step 5: Solve for x
    x = 60,071,345.86/8,601.60
  6. Step 6: Final answer
    x = 6,983.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.