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Finding the Fourth Proportional to 7,103.32, 9,802.03 and 3,916.61

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Solution

The fourth proportional to 7,103.32, 9,802.03 and 3,916.61 is: 5,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.32 : 9,802.03 = 3,916.61 : x
  2. Step 2: Convert to fraction form
    7,103.32/9,802.03 = 3,916.61/x
  3. Step 3: Cross multiply
    7,103.32x = 9,802.03 × 3,916.61
  4. Step 4: Simplify right side
    7,103.32x = 38,390,669.92
  5. Step 5: Solve for x
    x = 38,390,669.92/7,103.32
  6. Step 6: Final answer
    x = 5,404.61

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