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Finding the Fourth Proportional to 15,632.31, 21,574.65 and 8,916.40

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Solution

The fourth proportional to 15,632.31, 21,574.65 and 8,916.40 is: 12,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.31 : 21,574.65 = 8,916.40 : x
  2. Step 2: Convert to fraction form
    15,632.31/21,574.65 = 8,916.40/x
  3. Step 3: Cross multiply
    15,632.31x = 21,574.65 × 8,916.40
  4. Step 4: Simplify right side
    15,632.31x = 192,368,209.26
  5. Step 5: Solve for x
    x = 192,368,209.26/15,632.31
  6. Step 6: Final answer
    x = 12,305.81

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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.