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Finding the Fourth Proportional to 10,484.34, 15,726.51 and 7,187.44

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Solution

The fourth proportional to 10,484.34, 15,726.51 and 7,187.44 is: 10,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.34 : 15,726.51 = 7,187.44 : x
  2. Step 2: Convert to fraction form
    10,484.34/15,726.51 = 7,187.44/x
  3. Step 3: Cross multiply
    10,484.34x = 15,726.51 × 7,187.44
  4. Step 4: Simplify right side
    10,484.34x = 113,033,278.23
  5. Step 5: Solve for x
    x = 113,033,278.23/10,484.34
  6. Step 6: Final answer
    x = 10,781.16

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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.