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Finding the Fourth Proportional to 7,122.93, 9,824.40 and 5,233.88

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Solution

The fourth proportional to 7,122.93, 9,824.40 and 5,233.88 is: 7,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.93 : 9,824.40 = 5,233.88 : x
  2. Step 2: Convert to fraction form
    7,122.93/9,824.40 = 5,233.88/x
  3. Step 3: Cross multiply
    7,122.93x = 9,824.40 × 5,233.88
  4. Step 4: Simplify right side
    7,122.93x = 51,419,681.55
  5. Step 5: Solve for x
    x = 51,419,681.55/7,122.93
  6. Step 6: Final answer
    x = 7,218.89

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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.