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Finding the Fourth Proportional to 9,671.16, 14,436.47 and 8,949.72

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Solution

The fourth proportional to 9,671.16, 14,436.47 and 8,949.72 is: 13,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.16 : 14,436.47 = 8,949.72 : x
  2. Step 2: Convert to fraction form
    9,671.16/14,436.47 = 8,949.72/x
  3. Step 3: Cross multiply
    9,671.16x = 14,436.47 × 8,949.72
  4. Step 4: Simplify right side
    9,671.16x = 129,202,364.29
  5. Step 5: Solve for x
    x = 129,202,364.29/9,671.16
  6. Step 6: Final answer
    x = 13,359.55

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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.