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Finding the Fourth Proportional to 31,140.58, 42,975.04 and 16,994.20

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Solution

The fourth proportional to 31,140.58, 42,975.04 and 16,994.20 is: 23,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140.58 : 42,975.04 = 16,994.20 : x
  2. Step 2: Convert to fraction form
    31,140.58/42,975.04 = 16,994.20/x
  3. Step 3: Cross multiply
    31,140.58x = 42,975.04 × 16,994.20
  4. Step 4: Simplify right side
    31,140.58x = 730,326,424.77
  5. Step 5: Solve for x
    x = 730,326,424.77/31,140.58
  6. Step 6: Final answer
    x = 23,452.56

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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.