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Finding the Fourth Proportional to 9,318.90, 13,966.05 and 6,842.10

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Solution

The fourth proportional to 9,318.90, 13,966.05 and 6,842.10 is: 10,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.90 : 13,966.05 = 6,842.10 : x
  2. Step 2: Convert to fraction form
    9,318.90/13,966.05 = 6,842.10/x
  3. Step 3: Cross multiply
    9,318.90x = 13,966.05 × 6,842.10
  4. Step 4: Simplify right side
    9,318.90x = 95,557,110.71
  5. Step 5: Solve for x
    x = 95,557,110.71/9,318.90
  6. Step 6: Final answer
    x = 10,254.12

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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.