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Finding the Fourth Proportional to 3,008, 4,511.52 and 1,776

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Solution

The fourth proportional to 3,008, 4,511.52 and 1,776 is: 2,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008 : 4,511.52 = 1,776 : x
  2. Step 2: Convert to fraction form
    3,008/4,511.52 = 1,776/x
  3. Step 3: Cross multiply
    3,008x = 4,511.52 × 1,776
  4. Step 4: Simplify right side
    3,008x = 8,012,459.52
  5. Step 5: Solve for x
    x = 8,012,459.52/3,008
  6. Step 6: Final answer
    x = 2,663.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.