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Finding the Fourth Proportional to 21,698.35, 32,539.02 and 7,655.38

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Solution

The fourth proportional to 21,698.35, 32,539.02 and 7,655.38 is: 11,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.35 : 32,539.02 = 7,655.38 : x
  2. Step 2: Convert to fraction form
    21,698.35/32,539.02 = 7,655.38/x
  3. Step 3: Cross multiply
    21,698.35x = 32,539.02 × 7,655.38
  4. Step 4: Simplify right side
    21,698.35x = 249,098,452.87
  5. Step 5: Solve for x
    x = 249,098,452.87/21,698.35
  6. Step 6: Final answer
    x = 11,480.07

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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.