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Finding the Fourth Proportional to 8,971.78, 12,381.10 and 5,432.46

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Solution

The fourth proportional to 8,971.78, 12,381.10 and 5,432.46 is: 7,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.78 : 12,381.10 = 5,432.46 : x
  2. Step 2: Convert to fraction form
    8,971.78/12,381.10 = 5,432.46/x
  3. Step 3: Cross multiply
    8,971.78x = 12,381.10 × 5,432.46
  4. Step 4: Simplify right side
    8,971.78x = 67,259,830.51
  5. Step 5: Solve for x
    x = 67,259,830.51/8,971.78
  6. Step 6: Final answer
    x = 7,496.82

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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.