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Finding the Fourth Proportional to 7,158.87, 9,873.90 and 6,844.77

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Solution

The fourth proportional to 7,158.87, 9,873.90 and 6,844.77 is: 9,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.87 : 9,873.90 = 6,844.77 : x
  2. Step 2: Convert to fraction form
    7,158.87/9,873.90 = 6,844.77/x
  3. Step 3: Cross multiply
    7,158.87x = 9,873.90 × 6,844.77
  4. Step 4: Simplify right side
    7,158.87x = 67,584,574.50
  5. Step 5: Solve for x
    x = 67,584,574.50/7,158.87
  6. Step 6: Final answer
    x = 9,440.68

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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.