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Finding the Fourth Proportional to 7,851.70, 11,777.55 and 6,123.70

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Solution

The fourth proportional to 7,851.70, 11,777.55 and 6,123.70 is: 9,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.70 : 11,777.55 = 6,123.70 : x
  2. Step 2: Convert to fraction form
    7,851.70/11,777.55 = 6,123.70/x
  3. Step 3: Cross multiply
    7,851.70x = 11,777.55 × 6,123.70
  4. Step 4: Simplify right side
    7,851.70x = 72,122,182.94
  5. Step 5: Solve for x
    x = 72,122,182.94/7,851.70
  6. Step 6: Final answer
    x = 9,185.55

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Similar ratio
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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.