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Finding the Fourth Proportional to 28,633.71, 42,956.74 and 8,641.53

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Solution

The fourth proportional to 28,633.71, 42,956.74 and 8,641.53 is: 12,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,633.71 : 42,956.74 = 8,641.53 : x
  2. Step 2: Convert to fraction form
    28,633.71/42,956.74 = 8,641.53/x
  3. Step 3: Cross multiply
    28,633.71x = 42,956.74 × 8,641.53
  4. Step 4: Simplify right side
    28,633.71x = 371,211,854.66
  5. Step 5: Solve for x
    x = 371,211,854.66/28,633.71
  6. Step 6: Final answer
    x = 12,964.16

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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.