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Finding the Fourth Proportional to 8,967.42, 12,376.35 and 5,382.63

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Solution

The fourth proportional to 8,967.42, 12,376.35 and 5,382.63 is: 7,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.42 : 12,376.35 = 5,382.63 : x
  2. Step 2: Convert to fraction form
    8,967.42/12,376.35 = 5,382.63/x
  3. Step 3: Cross multiply
    8,967.42x = 12,376.35 × 5,382.63
  4. Step 4: Simplify right side
    8,967.42x = 66,617,312.80
  5. Step 5: Solve for x
    x = 66,617,312.80/8,967.42
  6. Step 6: Final answer
    x = 7,428.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.