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Finding the Fourth Proportional to 19,365.60, 29,058 and 7,678.56

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Solution

The fourth proportional to 19,365.60, 29,058 and 7,678.56 is: 11,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,365.60 : 29,058 = 7,678.56 : x
  2. Step 2: Convert to fraction form
    19,365.60/29,058 = 7,678.56/x
  3. Step 3: Cross multiply
    19,365.60x = 29,058 × 7,678.56
  4. Step 4: Simplify right side
    19,365.60x = 223,123,596.48
  5. Step 5: Solve for x
    x = 223,123,596.48/19,365.60
  6. Step 6: Final answer
    x = 11,521.65

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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.