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Finding the Fourth Proportional to 7,102.19, 9,801.09 and 3,915.60

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Solution

The fourth proportional to 7,102.19, 9,801.09 and 3,915.60 is: 5,403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.19 : 9,801.09 = 3,915.60 : x
  2. Step 2: Convert to fraction form
    7,102.19/9,801.09 = 3,915.60/x
  3. Step 3: Cross multiply
    7,102.19x = 9,801.09 × 3,915.60
  4. Step 4: Simplify right side
    7,102.19x = 38,377,133.32
  5. Step 5: Solve for x
    x = 38,377,133.32/7,102.19
  6. Step 6: Final answer
    x = 5,403.57

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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.