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Finding the Fourth Proportional to 30,000.78, 45,006.03 and 9,224.28

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Solution

The fourth proportional to 30,000.78, 45,006.03 and 9,224.28 is: 13,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.78 : 45,006.03 = 9,224.28 : x
  2. Step 2: Convert to fraction form
    30,000.78/45,006.03 = 9,224.28/x
  3. Step 3: Cross multiply
    30,000.78x = 45,006.03 × 9,224.28
  4. Step 4: Simplify right side
    30,000.78x = 415,148,222.41
  5. Step 5: Solve for x
    x = 415,148,222.41/30,000.78
  6. Step 6: Final answer
    x = 13,837.91

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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.