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Finding the Fourth Proportional to 9,687, 13,368.06 and 5,271

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Solution

The fourth proportional to 9,687, 13,368.06 and 5,271 is: 7,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687 : 13,368.06 = 5,271 : x
  2. Step 2: Convert to fraction form
    9,687/13,368.06 = 5,271/x
  3. Step 3: Cross multiply
    9,687x = 13,368.06 × 5,271
  4. Step 4: Simplify right side
    9,687x = 70,463,044.26
  5. Step 5: Solve for x
    x = 70,463,044.26/9,687
  6. Step 6: Final answer
    x = 7,273.98

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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.