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Finding the Fourth Proportional to 30,599.78, 45,897.44 and 8,411.45

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Solution

The fourth proportional to 30,599.78, 45,897.44 and 8,411.45 is: 12,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,599.78 : 45,897.44 = 8,411.45 : x
  2. Step 2: Convert to fraction form
    30,599.78/45,897.44 = 8,411.45/x
  3. Step 3: Cross multiply
    30,599.78x = 45,897.44 × 8,411.45
  4. Step 4: Simplify right side
    30,599.78x = 386,063,750.14
  5. Step 5: Solve for x
    x = 386,063,750.14/30,599.78
  6. Step 6: Final answer
    x = 12,616.56

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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.