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Finding the Fourth Proportional to 8,748.70, 12,071.52 and 5,164.78

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Solution

The fourth proportional to 8,748.70, 12,071.52 and 5,164.78 is: 7,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,748.70 : 12,071.52 = 5,164.78 : x
  2. Step 2: Convert to fraction form
    8,748.70/12,071.52 = 5,164.78/x
  3. Step 3: Cross multiply
    8,748.70x = 12,071.52 × 5,164.78
  4. Step 4: Simplify right side
    8,748.70x = 62,346,745.07
  5. Step 5: Solve for x
    x = 62,346,745.07/8,748.70
  6. Step 6: Final answer
    x = 7,126.40

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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.