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Finding the Fourth Proportional to 5,318.24, 7,975.20 and 1,854.40

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Solution

The fourth proportional to 5,318.24, 7,975.20 and 1,854.40 is: 2,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.24 : 7,975.20 = 1,854.40 : x
  2. Step 2: Convert to fraction form
    5,318.24/7,975.20 = 1,854.40/x
  3. Step 3: Cross multiply
    5,318.24x = 7,975.20 × 1,854.40
  4. Step 4: Simplify right side
    5,318.24x = 14,789,210.88
  5. Step 5: Solve for x
    x = 14,789,210.88/5,318.24
  6. Step 6: Final answer
    x = 2,780.85

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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.