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Finding the Fourth Proportional to 5,385.76, 8,078.76 and 1,490.32

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Solution

The fourth proportional to 5,385.76, 8,078.76 and 1,490.32 is: 2,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.76 : 8,078.76 = 1,490.32 : x
  2. Step 2: Convert to fraction form
    5,385.76/8,078.76 = 1,490.32/x
  3. Step 3: Cross multiply
    5,385.76x = 8,078.76 × 1,490.32
  4. Step 4: Simplify right side
    5,385.76x = 12,039,937.60
  5. Step 5: Solve for x
    x = 12,039,937.60/5,385.76
  6. Step 6: Final answer
    x = 2,235.51

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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.