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Finding the Fourth Proportional to 32,670.78, 48,985.76 and 13,690.30

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Solution

The fourth proportional to 32,670.78, 48,985.76 and 13,690.30 is: 20,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,670.78 : 48,985.76 = 13,690.30 : x
  2. Step 2: Convert to fraction form
    32,670.78/48,985.76 = 13,690.30/x
  3. Step 3: Cross multiply
    32,670.78x = 48,985.76 × 13,690.30
  4. Step 4: Simplify right side
    32,670.78x = 670,629,750.13
  5. Step 5: Solve for x
    x = 670,629,750.13/32,670.78
  6. Step 6: Final answer
    x = 20,526.90

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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.