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Finding the Fourth Proportional to 40,030, 60,045.84 and 12,328

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Solution

The fourth proportional to 40,030, 60,045.84 and 12,328 is: 18,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,030 : 60,045.84 = 12,328 : x
  2. Step 2: Convert to fraction form
    40,030/60,045.84 = 12,328/x
  3. Step 3: Cross multiply
    40,030x = 60,045.84 × 12,328
  4. Step 4: Simplify right side
    40,030x = 740,245,115.52
  5. Step 5: Solve for x
    x = 740,245,115.52/40,030
  6. Step 6: Final answer
    x = 18,492.26

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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.