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Finding the Fourth Proportional to 9,248.49, 13,902.81 and 7,419.61

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Solution

The fourth proportional to 9,248.49, 13,902.81 and 7,419.61 is: 11,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.49 : 13,902.81 = 7,419.61 : x
  2. Step 2: Convert to fraction form
    9,248.49/13,902.81 = 7,419.61/x
  3. Step 3: Cross multiply
    9,248.49x = 13,902.81 × 7,419.61
  4. Step 4: Simplify right side
    9,248.49x = 103,153,417.66
  5. Step 5: Solve for x
    x = 103,153,417.66/9,248.49
  6. Step 6: Final answer
    x = 11,153.54

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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.