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Finding the Fourth Proportional to 19,353.60, 29,040 and 7,666.56

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Solution

The fourth proportional to 19,353.60, 29,040 and 7,666.56 is: 11,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,353.60 : 29,040 = 7,666.56 : x
  2. Step 2: Convert to fraction form
    19,353.60/29,040 = 7,666.56/x
  3. Step 3: Cross multiply
    19,353.60x = 29,040 × 7,666.56
  4. Step 4: Simplify right side
    19,353.60x = 222,636,902.40
  5. Step 5: Solve for x
    x = 222,636,902.40/19,353.60
  6. Step 6: Final answer
    x = 11,503.64

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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.