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Finding the Fourth Proportional to 30,053.50, 45,080.25 and 8,165.50

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Solution

The fourth proportional to 30,053.50, 45,080.25 and 8,165.50 is: 12,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,053.50 : 45,080.25 = 8,165.50 : x
  2. Step 2: Convert to fraction form
    30,053.50/45,080.25 = 8,165.50/x
  3. Step 3: Cross multiply
    30,053.50x = 45,080.25 × 8,165.50
  4. Step 4: Simplify right side
    30,053.50x = 368,102,781.38
  5. Step 5: Solve for x
    x = 368,102,781.38/30,053.50
  6. Step 6: Final answer
    x = 12,248.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.