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Finding the Fourth Proportional to 1,113.86, 1,540.14 and 975.62

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Solution

The fourth proportional to 1,113.86, 1,540.14 and 975.62 is: 1,348.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.86 : 1,540.14 = 975.62 : x
  2. Step 2: Convert to fraction form
    1,113.86/1,540.14 = 975.62/x
  3. Step 3: Cross multiply
    1,113.86x = 1,540.14 × 975.62
  4. Step 4: Simplify right side
    1,113.86x = 1,502,591.39
  5. Step 5: Solve for x
    x = 1,502,591.39/1,113.86
  6. Step 6: Final answer
    x = 1,348.99

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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.