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Finding the Fourth Proportional to 8,971.52, 12,382.72 and 5,822.24

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Solution

The fourth proportional to 8,971.52, 12,382.72 and 5,822.24 is: 8,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.52 : 12,382.72 = 5,822.24 : x
  2. Step 2: Convert to fraction form
    8,971.52/12,382.72 = 5,822.24/x
  3. Step 3: Cross multiply
    8,971.52x = 12,382.72 × 5,822.24
  4. Step 4: Simplify right side
    8,971.52x = 72,095,167.69
  5. Step 5: Solve for x
    x = 72,095,167.69/8,971.52
  6. Step 6: Final answer
    x = 8,036.00

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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.