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Finding the Fourth Proportional to 31,572, 43,570.31 and 17,425.76

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Solution

The fourth proportional to 31,572, 43,570.31 and 17,425.76 is: 24,048.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 43,570.31 = 17,425.76 : x
  2. Step 2: Convert to fraction form
    31,572/43,570.31 = 17,425.76/x
  3. Step 3: Cross multiply
    31,572x = 43,570.31 × 17,425.76
  4. Step 4: Simplify right side
    31,572x = 759,245,460.21
  5. Step 5: Solve for x
    x = 759,245,460.21/31,572
  6. Step 6: Final answer
    x = 24,048.06

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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.