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Finding the Fourth Proportional to 10,643.10, 15,947.08 and 6,470.48

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Solution

The fourth proportional to 10,643.10, 15,947.08 and 6,470.48 is: 9,695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.10 : 15,947.08 = 6,470.48 : x
  2. Step 2: Convert to fraction form
    10,643.10/15,947.08 = 6,470.48/x
  3. Step 3: Cross multiply
    10,643.10x = 15,947.08 × 6,470.48
  4. Step 4: Simplify right side
    10,643.10x = 103,185,285.89
  5. Step 5: Solve for x
    x = 103,185,285.89/10,643.10
  6. Step 6: Final answer
    x = 9,695.04

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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.