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Finding the Fourth Proportional to 7,103.47, 9,802.87 and 3,916.78

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Solution

The fourth proportional to 7,103.47, 9,802.87 and 3,916.78 is: 5,405.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.47 : 9,802.87 = 3,916.78 : x
  2. Step 2: Convert to fraction form
    7,103.47/9,802.87 = 3,916.78/x
  3. Step 3: Cross multiply
    7,103.47x = 9,802.87 × 3,916.78
  4. Step 4: Simplify right side
    7,103.47x = 38,395,642.58
  5. Step 5: Solve for x
    x = 38,395,642.58/7,103.47
  6. Step 6: Final answer
    x = 5,405.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.