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Finding the Fourth Proportional to 7,158.95, 10,742.61 and 2,998.60

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Solution

The fourth proportional to 7,158.95, 10,742.61 and 2,998.60 is: 4,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.95 : 10,742.61 = 2,998.60 : x
  2. Step 2: Convert to fraction form
    7,158.95/10,742.61 = 2,998.60/x
  3. Step 3: Cross multiply
    7,158.95x = 10,742.61 × 2,998.60
  4. Step 4: Simplify right side
    7,158.95x = 32,212,818.29
  5. Step 5: Solve for x
    x = 32,212,818.29/7,158.95
  6. Step 6: Final answer
    x = 4,499.66

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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.