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Finding the Fourth Proportional to 20,655.88, 30,973.26 and 7,505.16

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Solution

The fourth proportional to 20,655.88, 30,973.26 and 7,505.16 is: 11,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.88 : 30,973.26 = 7,505.16 : x
  2. Step 2: Convert to fraction form
    20,655.88/30,973.26 = 7,505.16/x
  3. Step 3: Cross multiply
    20,655.88x = 30,973.26 × 7,505.16
  4. Step 4: Simplify right side
    20,655.88x = 232,459,272.02
  5. Step 5: Solve for x
    x = 232,459,272.02/20,655.88
  6. Step 6: Final answer
    x = 11,253.90

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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.