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Finding the Fourth Proportional to 9,701.50, 13,386 and 5,721.16

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Solution

The fourth proportional to 9,701.50, 13,386 and 5,721.16 is: 7,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.50 : 13,386 = 5,721.16 : x
  2. Step 2: Convert to fraction form
    9,701.50/13,386 = 5,721.16/x
  3. Step 3: Cross multiply
    9,701.50x = 13,386 × 5,721.16
  4. Step 4: Simplify right side
    9,701.50x = 76,583,447.76
  5. Step 5: Solve for x
    x = 76,583,447.76/9,701.50
  6. Step 6: Final answer
    x = 7,893.98

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Why These Related Problems?

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