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Finding the Fourth Proportional to 21,929.16, 32,888.94 and 6,343.40

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Solution

The fourth proportional to 21,929.16, 32,888.94 and 6,343.40 is: 9,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929.16 : 32,888.94 = 6,343.40 : x
  2. Step 2: Convert to fraction form
    21,929.16/32,888.94 = 6,343.40/x
  3. Step 3: Cross multiply
    21,929.16x = 32,888.94 × 6,343.40
  4. Step 4: Simplify right side
    21,929.16x = 208,627,702.00
  5. Step 5: Solve for x
    x = 208,627,702.00/21,929.16
  6. Step 6: Final answer
    x = 9,513.71

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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.