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Finding the Fourth Proportional to 9,871.88, 13,623.19 and 5,680.13

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Solution

The fourth proportional to 9,871.88, 13,623.19 and 5,680.13 is: 7,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.88 : 13,623.19 = 5,680.13 : x
  2. Step 2: Convert to fraction form
    9,871.88/13,623.19 = 5,680.13/x
  3. Step 3: Cross multiply
    9,871.88x = 13,623.19 × 5,680.13
  4. Step 4: Simplify right side
    9,871.88x = 77,381,407.90
  5. Step 5: Solve for x
    x = 77,381,407.90/9,871.88
  6. Step 6: Final answer
    x = 7,838.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.