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Finding the Fourth Proportional to 1,384.86, 2,064.46 and 1,281.18

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Solution

The fourth proportional to 1,384.86, 2,064.46 and 1,281.18 is: 1,909.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.86 : 2,064.46 = 1,281.18 : x
  2. Step 2: Convert to fraction form
    1,384.86/2,064.46 = 1,281.18/x
  3. Step 3: Cross multiply
    1,384.86x = 2,064.46 × 1,281.18
  4. Step 4: Simplify right side
    1,384.86x = 2,644,944.86
  5. Step 5: Solve for x
    x = 2,644,944.86/1,384.86
  6. Step 6: Final answer
    x = 1,909.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.