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Finding the Fourth Proportional to 21,509.70, 32,259.12 and 7,655.46

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Solution

The fourth proportional to 21,509.70, 32,259.12 and 7,655.46 is: 11,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.70 : 32,259.12 = 7,655.46 : x
  2. Step 2: Convert to fraction form
    21,509.70/32,259.12 = 7,655.46/x
  3. Step 3: Cross multiply
    21,509.70x = 32,259.12 × 7,655.46
  4. Step 4: Simplify right side
    21,509.70x = 246,958,402.80
  5. Step 5: Solve for x
    x = 246,958,402.80/21,509.70
  6. Step 6: Final answer
    x = 11,481.26

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1.5x scale

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.