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Finding the Fourth Proportional to 30,132.54, 45,193.67 and 7,946.13

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Solution

The fourth proportional to 30,132.54, 45,193.67 and 7,946.13 is: 11,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,132.54 : 45,193.67 = 7,946.13 : x
  2. Step 2: Convert to fraction form
    30,132.54/45,193.67 = 7,946.13/x
  3. Step 3: Cross multiply
    30,132.54x = 45,193.67 × 7,946.13
  4. Step 4: Simplify right side
    30,132.54x = 359,114,737.27
  5. Step 5: Solve for x
    x = 359,114,737.27/30,132.54
  6. Step 6: Final answer
    x = 11,917.84

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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.