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Finding the Fourth Proportional to 21,143.56, 31,707.18 and 6,349

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Solution

The fourth proportional to 21,143.56, 31,707.18 and 6,349 is: 9,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.56 : 31,707.18 = 6,349 : x
  2. Step 2: Convert to fraction form
    21,143.56/31,707.18 = 6,349/x
  3. Step 3: Cross multiply
    21,143.56x = 31,707.18 × 6,349
  4. Step 4: Simplify right side
    21,143.56x = 201,308,885.82
  5. Step 5: Solve for x
    x = 201,308,885.82/21,143.56
  6. Step 6: Final answer
    x = 9,521.05

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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.