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Finding the Fourth Proportional to 31,795.76, 43,878.12 and 17,647.76

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Solution

The fourth proportional to 31,795.76, 43,878.12 and 17,647.76 is: 24,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795.76 : 43,878.12 = 17,647.76 : x
  2. Step 2: Convert to fraction form
    31,795.76/43,878.12 = 17,647.76/x
  3. Step 3: Cross multiply
    31,795.76x = 43,878.12 × 17,647.76
  4. Step 4: Simplify right side
    31,795.76x = 774,350,531.01
  5. Step 5: Solve for x
    x = 774,350,531.01/31,795.76
  6. Step 6: Final answer
    x = 24,353.89

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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.