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Finding the Fourth Proportional to 1,350, 1,860.96 and 1,162.50

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Solution

The fourth proportional to 1,350, 1,860.96 and 1,162.50 is: 1,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350 : 1,860.96 = 1,162.50 : x
  2. Step 2: Convert to fraction form
    1,350/1,860.96 = 1,162.50/x
  3. Step 3: Cross multiply
    1,350x = 1,860.96 × 1,162.50
  4. Step 4: Simplify right side
    1,350x = 2,163,366
  5. Step 5: Solve for x
    x = 2,163,366/1,350
  6. Step 6: Final answer
    x = 1,602.49

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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.