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Finding the Fourth Proportional to 30,171.66, 45,264.20 and 9,909.31

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Solution

The fourth proportional to 30,171.66, 45,264.20 and 9,909.31 is: 14,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171.66 : 45,264.20 = 9,909.31 : x
  2. Step 2: Convert to fraction form
    30,171.66/45,264.20 = 9,909.31/x
  3. Step 3: Cross multiply
    30,171.66x = 45,264.20 × 9,909.31
  4. Step 4: Simplify right side
    30,171.66x = 448,536,989.70
  5. Step 5: Solve for x
    x = 448,536,989.70/30,171.66
  6. Step 6: Final answer
    x = 14,866.17

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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.