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Finding the Fourth Proportional to 7,158.42, 10,693.85 and 6,899.22

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Solution

The fourth proportional to 7,158.42, 10,693.85 and 6,899.22 is: 10,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.42 : 10,693.85 = 6,899.22 : x
  2. Step 2: Convert to fraction form
    7,158.42/10,693.85 = 6,899.22/x
  3. Step 3: Cross multiply
    7,158.42x = 10,693.85 × 6,899.22
  4. Step 4: Simplify right side
    7,158.42x = 73,779,189.30
  5. Step 5: Solve for x
    x = 73,779,189.30/7,158.42
  6. Step 6: Final answer
    x = 10,306.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.