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Finding the Fourth Proportional to 30,754.76, 42,442.02 and 17,142.80

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Solution

The fourth proportional to 30,754.76, 42,442.02 and 17,142.80 is: 23,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.76 : 42,442.02 = 17,142.80 : x
  2. Step 2: Convert to fraction form
    30,754.76/42,442.02 = 17,142.80/x
  3. Step 3: Cross multiply
    30,754.76x = 42,442.02 × 17,142.80
  4. Step 4: Simplify right side
    30,754.76x = 727,574,848.25
  5. Step 5: Solve for x
    x = 727,574,848.25/30,754.76
  6. Step 6: Final answer
    x = 23,657.31

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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.