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Finding the Fourth Proportional to 30,098.52, 45,151.74 and 10,371.78

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Solution

The fourth proportional to 30,098.52, 45,151.74 and 10,371.78 is: 15,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.52 : 45,151.74 = 10,371.78 : x
  2. Step 2: Convert to fraction form
    30,098.52/45,151.74 = 10,371.78/x
  3. Step 3: Cross multiply
    30,098.52x = 45,151.74 × 10,371.78
  4. Step 4: Simplify right side
    30,098.52x = 468,303,913.90
  5. Step 5: Solve for x
    x = 468,303,913.90/30,098.52
  6. Step 6: Final answer
    x = 15,559.03

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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.