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Finding the Fourth Proportional to 15,870.70, 23,806.80 and 13,092.22

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Solution

The fourth proportional to 15,870.70, 23,806.80 and 13,092.22 is: 19,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.70 : 23,806.80 = 13,092.22 : x
  2. Step 2: Convert to fraction form
    15,870.70/23,806.80 = 13,092.22/x
  3. Step 3: Cross multiply
    15,870.70x = 23,806.80 × 13,092.22
  4. Step 4: Simplify right side
    15,870.70x = 311,683,892.85
  5. Step 5: Solve for x
    x = 311,683,892.85/15,870.70
  6. Step 6: Final answer
    x = 19,638.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.