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Finding the Fourth Proportional to 8,177.70, 12,266.55 and 4,897.20

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Solution

The fourth proportional to 8,177.70, 12,266.55 and 4,897.20 is: 7,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.70 : 12,266.55 = 4,897.20 : x
  2. Step 2: Convert to fraction form
    8,177.70/12,266.55 = 4,897.20/x
  3. Step 3: Cross multiply
    8,177.70x = 12,266.55 × 4,897.20
  4. Step 4: Simplify right side
    8,177.70x = 60,071,748.66
  5. Step 5: Solve for x
    x = 60,071,748.66/8,177.70
  6. Step 6: Final answer
    x = 7,345.80

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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.