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Finding the Fourth Proportional to 8,530.56, 12,796.65 and 2,985.30

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Solution

The fourth proportional to 8,530.56, 12,796.65 and 2,985.30 is: 4,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.56 : 12,796.65 = 2,985.30 : x
  2. Step 2: Convert to fraction form
    8,530.56/12,796.65 = 2,985.30/x
  3. Step 3: Cross multiply
    8,530.56x = 12,796.65 × 2,985.30
  4. Step 4: Simplify right side
    8,530.56x = 38,201,839.25
  5. Step 5: Solve for x
    x = 38,201,839.25/8,530.56
  6. Step 6: Final answer
    x = 4,478.23

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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.