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Finding the Fourth Proportional to 7,165.56, 9,883.98 and 5,178.36

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Solution

The fourth proportional to 7,165.56, 9,883.98 and 5,178.36 is: 7,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.56 : 9,883.98 = 5,178.36 : x
  2. Step 2: Convert to fraction form
    7,165.56/9,883.98 = 5,178.36/x
  3. Step 3: Cross multiply
    7,165.56x = 9,883.98 × 5,178.36
  4. Step 4: Simplify right side
    7,165.56x = 51,182,806.67
  5. Step 5: Solve for x
    x = 51,182,806.67/7,165.56
  6. Step 6: Final answer
    x = 7,142.89

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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.