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Finding the Fourth Proportional to 7,175.36, 9,897.72 and 4,376

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Solution

The fourth proportional to 7,175.36, 9,897.72 and 4,376 is: 6,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.36 : 9,897.72 = 4,376 : x
  2. Step 2: Convert to fraction form
    7,175.36/9,897.72 = 4,376/x
  3. Step 3: Cross multiply
    7,175.36x = 9,897.72 × 4,376
  4. Step 4: Simplify right side
    7,175.36x = 43,312,422.72
  5. Step 5: Solve for x
    x = 43,312,422.72/7,175.36
  6. Step 6: Final answer
    x = 6,036.27

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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.