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Finding the Fourth Proportional to 10,342.60, 15,513.90 and 9,219.40

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Solution

The fourth proportional to 10,342.60, 15,513.90 and 9,219.40 is: 13,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.60 : 15,513.90 = 9,219.40 : x
  2. Step 2: Convert to fraction form
    10,342.60/15,513.90 = 9,219.40/x
  3. Step 3: Cross multiply
    10,342.60x = 15,513.90 × 9,219.40
  4. Step 4: Simplify right side
    10,342.60x = 143,028,849.66
  5. Step 5: Solve for x
    x = 143,028,849.66/10,342.60
  6. Step 6: Final answer
    x = 13,829.10

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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.