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Finding the Fourth Proportional to 30,643.88, 42,287.12 and 17,031.28

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Solution

The fourth proportional to 30,643.88, 42,287.12 and 17,031.28 is: 23,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.88 : 42,287.12 = 17,031.28 : x
  2. Step 2: Convert to fraction form
    30,643.88/42,287.12 = 17,031.28/x
  3. Step 3: Cross multiply
    30,643.88x = 42,287.12 × 17,031.28
  4. Step 4: Simplify right side
    30,643.88x = 720,203,781.11
  5. Step 5: Solve for x
    x = 720,203,781.11/30,643.88
  6. Step 6: Final answer
    x = 23,502.37

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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.