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Finding the Fourth Proportional to 7,908.78, 10,916.16 and 4,551.93

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Solution

The fourth proportional to 7,908.78, 10,916.16 and 4,551.93 is: 6,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908.78 : 10,916.16 = 4,551.93 : x
  2. Step 2: Convert to fraction form
    7,908.78/10,916.16 = 4,551.93/x
  3. Step 3: Cross multiply
    7,908.78x = 10,916.16 × 4,551.93
  4. Step 4: Simplify right side
    7,908.78x = 49,689,596.19
  5. Step 5: Solve for x
    x = 49,689,596.19/7,908.78
  6. Step 6: Final answer
    x = 6,282.84

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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.