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Finding the Fourth Proportional to 10,054, 15,098.28 and 9,138.16

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Solution

The fourth proportional to 10,054, 15,098.28 and 9,138.16 is: 13,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054 : 15,098.28 = 9,138.16 : x
  2. Step 2: Convert to fraction form
    10,054/15,098.28 = 9,138.16/x
  3. Step 3: Cross multiply
    10,054x = 15,098.28 × 9,138.16
  4. Step 4: Simplify right side
    10,054x = 137,970,498.36
  5. Step 5: Solve for x
    x = 137,970,498.36/10,054
  6. Step 6: Final answer
    x = 13,722.95

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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.