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Finding the Fourth Proportional to 5,345.38, 7,378.68 and 4,784.86

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Solution

The fourth proportional to 5,345.38, 7,378.68 and 4,784.86 is: 6,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.38 : 7,378.68 = 4,784.86 : x
  2. Step 2: Convert to fraction form
    5,345.38/7,378.68 = 4,784.86/x
  3. Step 3: Cross multiply
    5,345.38x = 7,378.68 × 4,784.86
  4. Step 4: Simplify right side
    5,345.38x = 35,305,950.78
  5. Step 5: Solve for x
    x = 35,305,950.78/5,345.38
  6. Step 6: Final answer
    x = 6,604.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.