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Finding the Fourth Proportional to 30,557.70, 42,168.81 and 17,129.82

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Solution

The fourth proportional to 30,557.70, 42,168.81 and 17,129.82 is: 23,638.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,557.70 : 42,168.81 = 17,129.82 : x
  2. Step 2: Convert to fraction form
    30,557.70/42,168.81 = 17,129.82/x
  3. Step 3: Cross multiply
    30,557.70x = 42,168.81 × 17,129.82
  4. Step 4: Simplify right side
    30,557.70x = 722,344,347.28
  5. Step 5: Solve for x
    x = 722,344,347.28/30,557.70
  6. Step 6: Final answer
    x = 23,638.70

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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.