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Finding the Fourth Proportional to 30,484.47, 45,728.49 and 11,764.61

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Solution

The fourth proportional to 30,484.47, 45,728.49 and 11,764.61 is: 17,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,484.47 : 45,728.49 = 11,764.61 : x
  2. Step 2: Convert to fraction form
    30,484.47/45,728.49 = 11,764.61/x
  3. Step 3: Cross multiply
    30,484.47x = 45,728.49 × 11,764.61
  4. Step 4: Simplify right side
    30,484.47x = 537,977,622.10
  5. Step 5: Solve for x
    x = 537,977,622.10/30,484.47
  6. Step 6: Final answer
    x = 17,647.60

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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.