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Finding the Fourth Proportional to 30,603.07, 45,902.42 and 8,113.24

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Solution

The fourth proportional to 30,603.07, 45,902.42 and 8,113.24 is: 12,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.07 : 45,902.42 = 8,113.24 : x
  2. Step 2: Convert to fraction form
    30,603.07/45,902.42 = 8,113.24/x
  3. Step 3: Cross multiply
    30,603.07x = 45,902.42 × 8,113.24
  4. Step 4: Simplify right side
    30,603.07x = 372,417,350.04
  5. Step 5: Solve for x
    x = 372,417,350.04/30,603.07
  6. Step 6: Final answer
    x = 12,169.28

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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.