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Finding the Fourth Proportional to 8,454.78, 11,671.29 and 5,315.22

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Solution

The fourth proportional to 8,454.78, 11,671.29 and 5,315.22 is: 7,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.78 : 11,671.29 = 5,315.22 : x
  2. Step 2: Convert to fraction form
    8,454.78/11,671.29 = 5,315.22/x
  3. Step 3: Cross multiply
    8,454.78x = 11,671.29 × 5,315.22
  4. Step 4: Simplify right side
    8,454.78x = 62,035,474.03
  5. Step 5: Solve for x
    x = 62,035,474.03/8,454.78
  6. Step 6: Final answer
    x = 7,337.33

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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.