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Finding the Fourth Proportional to 30,443.59, 42,012 and 17,014.83

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Solution

The fourth proportional to 30,443.59, 42,012 and 17,014.83 is: 23,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443.59 : 42,012 = 17,014.83 : x
  2. Step 2: Convert to fraction form
    30,443.59/42,012 = 17,014.83/x
  3. Step 3: Cross multiply
    30,443.59x = 42,012 × 17,014.83
  4. Step 4: Simplify right side
    30,443.59x = 714,827,037.96
  5. Step 5: Solve for x
    x = 714,827,037.96/30,443.59
  6. Step 6: Final answer
    x = 23,480.38

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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.