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Finding the Fourth Proportional to 21,655.41, 32,484.27 and 6,865.49

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Solution

The fourth proportional to 21,655.41, 32,484.27 and 6,865.49 is: 10,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.41 : 32,484.27 = 6,865.49 : x
  2. Step 2: Convert to fraction form
    21,655.41/32,484.27 = 6,865.49/x
  3. Step 3: Cross multiply
    21,655.41x = 32,484.27 × 6,865.49
  4. Step 4: Simplify right side
    21,655.41x = 223,020,268.42
  5. Step 5: Solve for x
    x = 223,020,268.42/21,655.41
  6. Step 6: Final answer
    x = 10,298.59

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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.