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Finding the Fourth Proportional to 31,681.50, 43,720.47 and 17,536.47

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Solution

The fourth proportional to 31,681.50, 43,720.47 and 17,536.47 is: 24,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.50 : 43,720.47 = 17,536.47 : x
  2. Step 2: Convert to fraction form
    31,681.50/43,720.47 = 17,536.47/x
  3. Step 3: Cross multiply
    31,681.50x = 43,720.47 × 17,536.47
  4. Step 4: Simplify right side
    31,681.50x = 766,702,710.54
  5. Step 5: Solve for x
    x = 766,702,710.54/31,681.50
  6. Step 6: Final answer
    x = 24,200.33

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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.