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Finding the Fourth Proportional to 22,887, 31,579.88 and 12,815.60

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Solution

The fourth proportional to 22,887, 31,579.88 and 12,815.60 is: 17,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887 : 31,579.88 = 12,815.60 : x
  2. Step 2: Convert to fraction form
    22,887/31,579.88 = 12,815.60/x
  3. Step 3: Cross multiply
    22,887x = 31,579.88 × 12,815.60
  4. Step 4: Simplify right side
    22,887x = 404,715,110.13
  5. Step 5: Solve for x
    x = 404,715,110.13/22,887
  6. Step 6: Final answer
    x = 17,683.19

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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.