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Finding the Fourth Proportional to 31,309.40, 46,964.10 and 27,421.40

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Solution

The fourth proportional to 31,309.40, 46,964.10 and 27,421.40 is: 41,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.40 : 46,964.10 = 27,421.40 : x
  2. Step 2: Convert to fraction form
    31,309.40/46,964.10 = 27,421.40/x
  3. Step 3: Cross multiply
    31,309.40x = 46,964.10 × 27,421.40
  4. Step 4: Simplify right side
    31,309.40x = 1,287,821,371.74
  5. Step 5: Solve for x
    x = 1,287,821,371.74/31,309.40
  6. Step 6: Final answer
    x = 41,132.10

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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.