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Finding the Fourth Proportional to 30,710.65, 42,380.19 and 17,281.90

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Solution

The fourth proportional to 30,710.65, 42,380.19 and 17,281.90 is: 23,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,710.65 : 42,380.19 = 17,281.90 : x
  2. Step 2: Convert to fraction form
    30,710.65/42,380.19 = 17,281.90/x
  3. Step 3: Cross multiply
    30,710.65x = 42,380.19 × 17,281.90
  4. Step 4: Simplify right side
    30,710.65x = 732,409,993.66
  5. Step 5: Solve for x
    x = 732,409,993.66/30,710.65
  6. Step 6: Final answer
    x = 23,848.73

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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.