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Finding the Fourth Proportional to 11,360, 17,046.72 and 4,785.76

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Solution

The fourth proportional to 11,360, 17,046.72 and 4,785.76 is: 7,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360 : 17,046.72 = 4,785.76 : x
  2. Step 2: Convert to fraction form
    11,360/17,046.72 = 4,785.76/x
  3. Step 3: Cross multiply
    11,360x = 17,046.72 × 4,785.76
  4. Step 4: Simplify right side
    11,360x = 81,581,510.71
  5. Step 5: Solve for x
    x = 81,581,510.71/11,360
  6. Step 6: Final answer
    x = 7,181.47

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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.