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Finding the Fourth Proportional to 7,229, 9,916.03 and 7,166.60

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Solution

The fourth proportional to 7,229, 9,916.03 and 7,166.60 is: 9,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229 : 9,916.03 = 7,166.60 : x
  2. Step 2: Convert to fraction form
    7,229/9,916.03 = 7,166.60/x
  3. Step 3: Cross multiply
    7,229x = 9,916.03 × 7,166.60
  4. Step 4: Simplify right side
    7,229x = 71,064,220.60
  5. Step 5: Solve for x
    x = 71,064,220.60/7,229
  6. Step 6: Final answer
    x = 9,830.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.