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Finding the Fourth Proportional to 7,802.30, 11,701.02 and 3,904.58

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Solution

The fourth proportional to 7,802.30, 11,701.02 and 3,904.58 is: 5,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.30 : 11,701.02 = 3,904.58 : x
  2. Step 2: Convert to fraction form
    7,802.30/11,701.02 = 3,904.58/x
  3. Step 3: Cross multiply
    7,802.30x = 11,701.02 × 3,904.58
  4. Step 4: Simplify right side
    7,802.30x = 45,687,568.67
  5. Step 5: Solve for x
    x = 45,687,568.67/7,802.30
  6. Step 6: Final answer
    x = 5,855.65

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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.