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Finding the Fourth Proportional to 39,650, 54,719.16 and 22,888.40

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Solution

The fourth proportional to 39,650, 54,719.16 and 22,888.40 is: 31,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,650 : 54,719.16 = 22,888.40 : x
  2. Step 2: Convert to fraction form
    39,650/54,719.16 = 22,888.40/x
  3. Step 3: Cross multiply
    39,650x = 54,719.16 × 22,888.40
  4. Step 4: Simplify right side
    39,650x = 1,252,434,021.74
  5. Step 5: Solve for x
    x = 1,252,434,021.74/39,650
  6. Step 6: Final answer
    x = 31,587.24

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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.