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Finding the Fourth Proportional to 10,281.80, 15,413.70 and 6,984.20

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Solution

The fourth proportional to 10,281.80, 15,413.70 and 6,984.20 is: 10,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.80 : 15,413.70 = 6,984.20 : x
  2. Step 2: Convert to fraction form
    10,281.80/15,413.70 = 6,984.20/x
  3. Step 3: Cross multiply
    10,281.80x = 15,413.70 × 6,984.20
  4. Step 4: Simplify right side
    10,281.80x = 107,652,363.54
  5. Step 5: Solve for x
    x = 107,652,363.54/10,281.80
  6. Step 6: Final answer
    x = 10,470.19

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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.