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Finding the Fourth Proportional to 20,006.78, 30,009.78 and 5,215.40

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Solution

The fourth proportional to 20,006.78, 30,009.78 and 5,215.40 is: 7,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.78 : 30,009.78 = 5,215.40 : x
  2. Step 2: Convert to fraction form
    20,006.78/30,009.78 = 5,215.40/x
  3. Step 3: Cross multiply
    20,006.78x = 30,009.78 × 5,215.40
  4. Step 4: Simplify right side
    20,006.78x = 156,513,006.61
  5. Step 5: Solve for x
    x = 156,513,006.61/20,006.78
  6. Step 6: Final answer
    x = 7,823.00

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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.