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Finding the Fourth Proportional to 5,385.68, 8,078.64 and 1,490.24

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Solution

The fourth proportional to 5,385.68, 8,078.64 and 1,490.24 is: 2,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.68 : 8,078.64 = 1,490.24 : x
  2. Step 2: Convert to fraction form
    5,385.68/8,078.64 = 1,490.24/x
  3. Step 3: Cross multiply
    5,385.68x = 8,078.64 × 1,490.24
  4. Step 4: Simplify right side
    5,385.68x = 12,039,112.47
  5. Step 5: Solve for x
    x = 12,039,112.47/5,385.68
  6. Step 6: Final answer
    x = 2,235.39

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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.