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Finding the Fourth Proportional to 5,376.60, 8,064.27 and 1,678.50

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Solution

The fourth proportional to 5,376.60, 8,064.27 and 1,678.50 is: 2,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.60 : 8,064.27 = 1,678.50 : x
  2. Step 2: Convert to fraction form
    5,376.60/8,064.27 = 1,678.50/x
  3. Step 3: Cross multiply
    5,376.60x = 8,064.27 × 1,678.50
  4. Step 4: Simplify right side
    5,376.60x = 13,535,877.20
  5. Step 5: Solve for x
    x = 13,535,877.20/5,376.60
  6. Step 6: Final answer
    x = 2,517.55

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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.