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Finding the Fourth Proportional to 10,280.40, 15,424.20 and 9,920.40

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Solution

The fourth proportional to 10,280.40, 15,424.20 and 9,920.40 is: 14,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.40 : 15,424.20 = 9,920.40 : x
  2. Step 2: Convert to fraction form
    10,280.40/15,424.20 = 9,920.40/x
  3. Step 3: Cross multiply
    10,280.40x = 15,424.20 × 9,920.40
  4. Step 4: Simplify right side
    10,280.40x = 153,014,233.68
  5. Step 5: Solve for x
    x = 153,014,233.68/10,280.40
  6. Step 6: Final answer
    x = 14,884.07

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1.5x scale

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.