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Finding the Fourth Proportional to 13,803.31, 20,702.85 and 5,038.26

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Solution

The fourth proportional to 13,803.31, 20,702.85 and 5,038.26 is: 7,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.31 : 20,702.85 = 5,038.26 : x
  2. Step 2: Convert to fraction form
    13,803.31/20,702.85 = 5,038.26/x
  3. Step 3: Cross multiply
    13,803.31x = 20,702.85 × 5,038.26
  4. Step 4: Simplify right side
    13,803.31x = 104,306,341.04
  5. Step 5: Solve for x
    x = 104,306,341.04/13,803.31
  6. Step 6: Final answer
    x = 7,556.62

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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.