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Finding the Fourth Proportional to 21,141.56, 31,704.18 and 6,347

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Solution

The fourth proportional to 21,141.56, 31,704.18 and 6,347 is: 9,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.56 : 31,704.18 = 6,347 : x
  2. Step 2: Convert to fraction form
    21,141.56/31,704.18 = 6,347/x
  3. Step 3: Cross multiply
    21,141.56x = 31,704.18 × 6,347
  4. Step 4: Simplify right side
    21,141.56x = 201,226,430.46
  5. Step 5: Solve for x
    x = 201,226,430.46/21,141.56
  6. Step 6: Final answer
    x = 9,518.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.