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Finding the Fourth Proportional to 7,219.83, 9,947.52 and 4,857.87

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Solution

The fourth proportional to 7,219.83, 9,947.52 and 4,857.87 is: 6,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.83 : 9,947.52 = 4,857.87 : x
  2. Step 2: Convert to fraction form
    7,219.83/9,947.52 = 4,857.87/x
  3. Step 3: Cross multiply
    7,219.83x = 9,947.52 × 4,857.87
  4. Step 4: Simplify right side
    7,219.83x = 48,323,758.98
  5. Step 5: Solve for x
    x = 48,323,758.98/7,219.83
  6. Step 6: Final answer
    x = 6,693.20

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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.