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Finding the Fourth Proportional to 10,454.64, 15,686.36 and 6,509.20

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Solution

The fourth proportional to 10,454.64, 15,686.36 and 6,509.20 is: 9,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.64 : 15,686.36 = 6,509.20 : x
  2. Step 2: Convert to fraction form
    10,454.64/15,686.36 = 6,509.20/x
  3. Step 3: Cross multiply
    10,454.64x = 15,686.36 × 6,509.20
  4. Step 4: Simplify right side
    10,454.64x = 102,105,654.51
  5. Step 5: Solve for x
    x = 102,105,654.51/10,454.64
  6. Step 6: Final answer
    x = 9,766.54

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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.