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Finding the Fourth Proportional to 7,102.44, 9,800.90 and 3,915.77

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Solution

The fourth proportional to 7,102.44, 9,800.90 and 3,915.77 is: 5,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.44 : 9,800.90 = 3,915.77 : x
  2. Step 2: Convert to fraction form
    7,102.44/9,800.90 = 3,915.77/x
  3. Step 3: Cross multiply
    7,102.44x = 9,800.90 × 3,915.77
  4. Step 4: Simplify right side
    7,102.44x = 38,378,038.32
  5. Step 5: Solve for x
    x = 38,378,038.32/7,102.44
  6. Step 6: Final answer
    x = 5,403.50

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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.