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Finding the Fourth Proportional to 29,314.72, 43,971.36 and 8,538.40

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Solution

The fourth proportional to 29,314.72, 43,971.36 and 8,538.40 is: 12,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.72 : 43,971.36 = 8,538.40 : x
  2. Step 2: Convert to fraction form
    29,314.72/43,971.36 = 8,538.40/x
  3. Step 3: Cross multiply
    29,314.72x = 43,971.36 × 8,538.40
  4. Step 4: Simplify right side
    29,314.72x = 375,445,060.22
  5. Step 5: Solve for x
    x = 375,445,060.22/29,314.72
  6. Step 6: Final answer
    x = 12,807.39

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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.