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Finding the Fourth Proportional to 1,437.48, 1,983.12 and 847.80

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Solution

The fourth proportional to 1,437.48, 1,983.12 and 847.80 is: 1,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.48 : 1,983.12 = 847.80 : x
  2. Step 2: Convert to fraction form
    1,437.48/1,983.12 = 847.80/x
  3. Step 3: Cross multiply
    1,437.48x = 1,983.12 × 847.80
  4. Step 4: Simplify right side
    1,437.48x = 1,681,289.14
  5. Step 5: Solve for x
    x = 1,681,289.14/1,437.48
  6. Step 6: Final answer
    x = 1,169.61

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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.