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Finding the Fourth Proportional to 30,957.80, 42,722.62 and 18,211.90

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Solution

The fourth proportional to 30,957.80, 42,722.62 and 18,211.90 is: 25,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,957.80 : 42,722.62 = 18,211.90 : x
  2. Step 2: Convert to fraction form
    30,957.80/42,722.62 = 18,211.90/x
  3. Step 3: Cross multiply
    30,957.80x = 42,722.62 × 18,211.90
  4. Step 4: Simplify right side
    30,957.80x = 778,060,083.18
  5. Step 5: Solve for x
    x = 778,060,083.18/30,957.80
  6. Step 6: Final answer
    x = 25,132.93

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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.