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Finding the Fourth Proportional to 30,642.84, 45,966.91 and 8,456.22

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Solution

The fourth proportional to 30,642.84, 45,966.91 and 8,456.22 is: 12,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.84 : 45,966.91 = 8,456.22 : x
  2. Step 2: Convert to fraction form
    30,642.84/45,966.91 = 8,456.22/x
  3. Step 3: Cross multiply
    30,642.84x = 45,966.91 × 8,456.22
  4. Step 4: Simplify right side
    30,642.84x = 388,706,169.11
  5. Step 5: Solve for x
    x = 388,706,169.11/30,642.84
  6. Step 6: Final answer
    x = 12,685.06

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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.