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Finding the Fourth Proportional to 30,481.97, 42,064.74 and 17,053.18

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Solution

The fourth proportional to 30,481.97, 42,064.74 and 17,053.18 is: 23,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481.97 : 42,064.74 = 17,053.18 : x
  2. Step 2: Convert to fraction form
    30,481.97/42,064.74 = 17,053.18/x
  3. Step 3: Cross multiply
    30,481.97x = 42,064.74 × 17,053.18
  4. Step 4: Simplify right side
    30,481.97x = 717,337,477.71
  5. Step 5: Solve for x
    x = 717,337,477.71/30,481.97
  6. Step 6: Final answer
    x = 23,533.18

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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.