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Finding the Fourth Proportional to 30,378.06, 45,569.48 and 8,191.11

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Solution

The fourth proportional to 30,378.06, 45,569.48 and 8,191.11 is: 12,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.06 : 45,569.48 = 8,191.11 : x
  2. Step 2: Convert to fraction form
    30,378.06/45,569.48 = 8,191.11/x
  3. Step 3: Cross multiply
    30,378.06x = 45,569.48 × 8,191.11
  4. Step 4: Simplify right side
    30,378.06x = 373,264,395.48
  5. Step 5: Solve for x
    x = 373,264,395.48/30,378.06
  6. Step 6: Final answer
    x = 12,287.30

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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.