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Finding the Fourth Proportional to 10,579.12, 15,866.06 and 4,340.90

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Solution

The fourth proportional to 10,579.12, 15,866.06 and 4,340.90 is: 6,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.12 : 15,866.06 = 4,340.90 : x
  2. Step 2: Convert to fraction form
    10,579.12/15,866.06 = 4,340.90/x
  3. Step 3: Cross multiply
    10,579.12x = 15,866.06 × 4,340.90
  4. Step 4: Simplify right side
    10,579.12x = 68,872,979.85
  5. Step 5: Solve for x
    x = 68,872,979.85/10,579.12
  6. Step 6: Final answer
    x = 6,510.28

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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.