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Finding the Fourth Proportional to 19,756.78, 29,635.18 and 8,070

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Solution

The fourth proportional to 19,756.78, 29,635.18 and 8,070 is: 12,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.78 : 29,635.18 = 8,070 : x
  2. Step 2: Convert to fraction form
    19,756.78/29,635.18 = 8,070/x
  3. Step 3: Cross multiply
    19,756.78x = 29,635.18 × 8,070
  4. Step 4: Simplify right side
    19,756.78x = 239,155,902.60
  5. Step 5: Solve for x
    x = 239,155,902.60/19,756.78
  6. Step 6: Final answer
    x = 12,105.00

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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.