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Finding the Fourth Proportional to 10,470.80, 15,698.20 and 5,280.40

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Solution

The fourth proportional to 10,470.80, 15,698.20 and 5,280.40 is: 7,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.80 : 15,698.20 = 5,280.40 : x
  2. Step 2: Convert to fraction form
    10,470.80/15,698.20 = 5,280.40/x
  3. Step 3: Cross multiply
    10,470.80x = 15,698.20 × 5,280.40
  4. Step 4: Simplify right side
    10,470.80x = 82,892,775.28
  5. Step 5: Solve for x
    x = 82,892,775.28/10,470.80
  6. Step 6: Final answer
    x = 7,916.57

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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.