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Finding the Fourth Proportional to 8,971.50, 13,447.60 and 8,557.49

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Solution

The fourth proportional to 8,971.50, 13,447.60 and 8,557.49 is: 12,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.50 : 13,447.60 = 8,557.49 : x
  2. Step 2: Convert to fraction form
    8,971.50/13,447.60 = 8,557.49/x
  3. Step 3: Cross multiply
    8,971.50x = 13,447.60 × 8,557.49
  4. Step 4: Simplify right side
    8,971.50x = 115,077,702.52
  5. Step 5: Solve for x
    x = 115,077,702.52/8,971.50
  6. Step 6: Final answer
    x = 12,827.03

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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.