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Finding the Fourth Proportional to 15,543, 23,314.68 and 3,856.32

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Solution

The fourth proportional to 15,543, 23,314.68 and 3,856.32 is: 5,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,543 : 23,314.68 = 3,856.32 : x
  2. Step 2: Convert to fraction form
    15,543/23,314.68 = 3,856.32/x
  3. Step 3: Cross multiply
    15,543x = 23,314.68 × 3,856.32
  4. Step 4: Simplify right side
    15,543x = 89,908,866.78
  5. Step 5: Solve for x
    x = 89,908,866.78/15,543
  6. Step 6: Final answer
    x = 5,784.52

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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.