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Finding the Fourth Proportional to 10,937.49, 15,101 and 8,415.15

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Solution

The fourth proportional to 10,937.49, 15,101 and 8,415.15 is: 11,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.49 : 15,101 = 8,415.15 : x
  2. Step 2: Convert to fraction form
    10,937.49/15,101 = 8,415.15/x
  3. Step 3: Cross multiply
    10,937.49x = 15,101 × 8,415.15
  4. Step 4: Simplify right side
    10,937.49x = 127,077,180.15
  5. Step 5: Solve for x
    x = 127,077,180.15/10,937.49
  6. Step 6: Final answer
    x = 11,618.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.