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Finding the Fourth Proportional to 7,102.78, 9,806.40 and 6,355.44

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Solution

The fourth proportional to 7,102.78, 9,806.40 and 6,355.44 is: 8,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.78 : 9,806.40 = 6,355.44 : x
  2. Step 2: Convert to fraction form
    7,102.78/9,806.40 = 6,355.44/x
  3. Step 3: Cross multiply
    7,102.78x = 9,806.40 × 6,355.44
  4. Step 4: Simplify right side
    7,102.78x = 62,323,986.82
  5. Step 5: Solve for x
    x = 62,323,986.82/7,102.78
  6. Step 6: Final answer
    x = 8,774.59

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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.