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Finding the Fourth Proportional to 31,262.40, 43,141.68 and 17,114.40

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Solution

The fourth proportional to 31,262.40, 43,141.68 and 17,114.40 is: 23,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.40 : 43,141.68 = 17,114.40 : x
  2. Step 2: Convert to fraction form
    31,262.40/43,141.68 = 17,114.40/x
  3. Step 3: Cross multiply
    31,262.40x = 43,141.68 × 17,114.40
  4. Step 4: Simplify right side
    31,262.40x = 738,343,968.19
  5. Step 5: Solve for x
    x = 738,343,968.19/31,262.40
  6. Step 6: Final answer
    x = 23,617.64

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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.