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Finding the Fourth Proportional to 8,969.16, 13,432.86 and 8,657.70

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Solution

The fourth proportional to 8,969.16, 13,432.86 and 8,657.70 is: 12,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.16 : 13,432.86 = 8,657.70 : x
  2. Step 2: Convert to fraction form
    8,969.16/13,432.86 = 8,657.70/x
  3. Step 3: Cross multiply
    8,969.16x = 13,432.86 × 8,657.70
  4. Step 4: Simplify right side
    8,969.16x = 116,297,672.02
  5. Step 5: Solve for x
    x = 116,297,672.02/8,969.16
  6. Step 6: Final answer
    x = 12,966.40

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