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Finding the Fourth Proportional to 10,559.04, 15,807 and 6,386.42

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Solution

The fourth proportional to 10,559.04, 15,807 and 6,386.42 is: 9,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.04 : 15,807 = 6,386.42 : x
  2. Step 2: Convert to fraction form
    10,559.04/15,807 = 6,386.42/x
  3. Step 3: Cross multiply
    10,559.04x = 15,807 × 6,386.42
  4. Step 4: Simplify right side
    10,559.04x = 100,950,180.46
  5. Step 5: Solve for x
    x = 100,950,180.46/10,559.04
  6. Step 6: Final answer
    x = 9,560.55

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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.