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Finding the Fourth Proportional to 22,657.40, 33,985.20 and 7,869.68

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Solution

The fourth proportional to 22,657.40, 33,985.20 and 7,869.68 is: 11,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.40 : 33,985.20 = 7,869.68 : x
  2. Step 2: Convert to fraction form
    22,657.40/33,985.20 = 7,869.68/x
  3. Step 3: Cross multiply
    22,657.40x = 33,985.20 × 7,869.68
  4. Step 4: Simplify right side
    22,657.40x = 267,452,648.74
  5. Step 5: Solve for x
    x = 267,452,648.74/22,657.40
  6. Step 6: Final answer
    x = 11,804.21

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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.