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Finding the Fourth Proportional to 30,769.93, 42,461.91 and 17,340.91

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Solution

The fourth proportional to 30,769.93, 42,461.91 and 17,340.91 is: 23,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.93 : 42,461.91 = 17,340.91 : x
  2. Step 2: Convert to fraction form
    30,769.93/42,461.91 = 17,340.91/x
  3. Step 3: Cross multiply
    30,769.93x = 42,461.91 × 17,340.91
  4. Step 4: Simplify right side
    30,769.93x = 736,328,073.03
  5. Step 5: Solve for x
    x = 736,328,073.03/30,769.93
  6. Step 6: Final answer
    x = 23,930.12

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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.