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Finding the Fourth Proportional to 10,395.56, 15,580.20 and 4,545.20

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Solution

The fourth proportional to 10,395.56, 15,580.20 and 4,545.20 is: 6,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.56 : 15,580.20 = 4,545.20 : x
  2. Step 2: Convert to fraction form
    10,395.56/15,580.20 = 4,545.20/x
  3. Step 3: Cross multiply
    10,395.56x = 15,580.20 × 4,545.20
  4. Step 4: Simplify right side
    10,395.56x = 70,815,125.04
  5. Step 5: Solve for x
    x = 70,815,125.04/10,395.56
  6. Step 6: Final answer
    x = 6,812.05

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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.