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Finding the Fourth Proportional to 10,230.50, 15,256.20 and 10,137.08

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Solution

The fourth proportional to 10,230.50, 15,256.20 and 10,137.08 is: 15,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.50 : 15,256.20 = 10,137.08 : x
  2. Step 2: Convert to fraction form
    10,230.50/15,256.20 = 10,137.08/x
  3. Step 3: Cross multiply
    10,230.50x = 15,256.20 × 10,137.08
  4. Step 4: Simplify right side
    10,230.50x = 154,653,319.90
  5. Step 5: Solve for x
    x = 154,653,319.90/10,230.50
  6. Step 6: Final answer
    x = 15,116.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.