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Finding the Fourth Proportional to 21,969, 32,959.12 and 6,386.63

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Solution

The fourth proportional to 21,969, 32,959.12 and 6,386.63 is: 9,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969 : 32,959.12 = 6,386.63 : x
  2. Step 2: Convert to fraction form
    21,969/32,959.12 = 6,386.63/x
  3. Step 3: Cross multiply
    21,969x = 32,959.12 × 6,386.63
  4. Step 4: Simplify right side
    21,969x = 210,497,535.78
  5. Step 5: Solve for x
    x = 210,497,535.78/21,969
  6. Step 6: Final answer
    x = 9,581.57

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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.