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Finding the Fourth Proportional to 7,103.50, 9,803.06 and 3,916.93

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Solution

The fourth proportional to 7,103.50, 9,803.06 and 3,916.93 is: 5,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.50 : 9,803.06 = 3,916.93 : x
  2. Step 2: Convert to fraction form
    7,103.50/9,803.06 = 3,916.93/x
  3. Step 3: Cross multiply
    7,103.50x = 9,803.06 × 3,916.93
  4. Step 4: Simplify right side
    7,103.50x = 38,397,899.81
  5. Step 5: Solve for x
    x = 38,397,899.81/7,103.50
  6. Step 6: Final answer
    x = 5,405.49

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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.