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Finding the Fourth Proportional to 7,916.95, 10,920.64 and 5,228.20

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Solution

The fourth proportional to 7,916.95, 10,920.64 and 5,228.20 is: 7,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.95 : 10,920.64 = 5,228.20 : x
  2. Step 2: Convert to fraction form
    7,916.95/10,920.64 = 5,228.20/x
  3. Step 3: Cross multiply
    7,916.95x = 10,920.64 × 5,228.20
  4. Step 4: Simplify right side
    7,916.95x = 57,095,290.05
  5. Step 5: Solve for x
    x = 57,095,290.05/7,916.95
  6. Step 6: Final answer
    x = 7,211.78

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1.5x scale

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.