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Finding the Fourth Proportional to 7,130.60, 9,826.62 and 6,197.48

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Solution

The fourth proportional to 7,130.60, 9,826.62 and 6,197.48 is: 8,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.60 : 9,826.62 = 6,197.48 : x
  2. Step 2: Convert to fraction form
    7,130.60/9,826.62 = 6,197.48/x
  3. Step 3: Cross multiply
    7,130.60x = 9,826.62 × 6,197.48
  4. Step 4: Simplify right side
    7,130.60x = 60,900,280.92
  5. Step 5: Solve for x
    x = 60,900,280.92/7,130.60
  6. Step 6: Final answer
    x = 8,540.70

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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.