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Finding the Fourth Proportional to 10,225.80, 15,319.80 and 5,830.20

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Solution

The fourth proportional to 10,225.80, 15,319.80 and 5,830.20 is: 8,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.80 : 15,319.80 = 5,830.20 : x
  2. Step 2: Convert to fraction form
    10,225.80/15,319.80 = 5,830.20/x
  3. Step 3: Cross multiply
    10,225.80x = 15,319.80 × 5,830.20
  4. Step 4: Simplify right side
    10,225.80x = 89,317,497.96
  5. Step 5: Solve for x
    x = 89,317,497.96/10,225.80
  6. Step 6: Final answer
    x = 8,734.52

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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.