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Finding the Fourth Proportional to 8,438.48, 11,543.90 and 8,402.94

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Solution

The fourth proportional to 8,438.48, 11,543.90 and 8,402.94 is: 11,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.48 : 11,543.90 = 8,402.94 : x
  2. Step 2: Convert to fraction form
    8,438.48/11,543.90 = 8,402.94/x
  3. Step 3: Cross multiply
    8,438.48x = 11,543.90 × 8,402.94
  4. Step 4: Simplify right side
    8,438.48x = 97,002,657.05
  5. Step 5: Solve for x
    x = 97,002,657.05/8,438.48
  6. Step 6: Final answer
    x = 11,495.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.