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Finding the Fourth Proportional to 21,140.56, 31,702.68 and 6,346

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Solution

The fourth proportional to 21,140.56, 31,702.68 and 6,346 is: 9,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.56 : 31,702.68 = 6,346 : x
  2. Step 2: Convert to fraction form
    21,140.56/31,702.68 = 6,346/x
  3. Step 3: Cross multiply
    21,140.56x = 31,702.68 × 6,346
  4. Step 4: Simplify right side
    21,140.56x = 201,185,207.28
  5. Step 5: Solve for x
    x = 201,185,207.28/21,140.56
  6. Step 6: Final answer
    x = 9,516.55

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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.