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Finding the Fourth Proportional to 15,580.20, 23,394.60 and 9,019.20

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Solution

The fourth proportional to 15,580.20, 23,394.60 and 9,019.20 is: 13,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.20 : 23,394.60 = 9,019.20 : x
  2. Step 2: Convert to fraction form
    15,580.20/23,394.60 = 9,019.20/x
  3. Step 3: Cross multiply
    15,580.20x = 23,394.60 × 9,019.20
  4. Step 4: Simplify right side
    15,580.20x = 211,000,576.32
  5. Step 5: Solve for x
    x = 211,000,576.32/15,580.20
  6. Step 6: Final answer
    x = 13,542.87

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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.