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Finding the Fourth Proportional to 30,002.40, 41,411.32 and 17,257

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Solution

The fourth proportional to 30,002.40, 41,411.32 and 17,257 is: 23,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.40 : 41,411.32 = 17,257 : x
  2. Step 2: Convert to fraction form
    30,002.40/41,411.32 = 17,257/x
  3. Step 3: Cross multiply
    30,002.40x = 41,411.32 × 17,257
  4. Step 4: Simplify right side
    30,002.40x = 714,635,149.24
  5. Step 5: Solve for x
    x = 714,635,149.24/30,002.40
  6. Step 6: Final answer
    x = 23,819.27

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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.