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Finding the Fourth Proportional to 9,977.70, 13,774.14 and 6,442.86

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Solution

The fourth proportional to 9,977.70, 13,774.14 and 6,442.86 is: 8,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.70 : 13,774.14 = 6,442.86 : x
  2. Step 2: Convert to fraction form
    9,977.70/13,774.14 = 6,442.86/x
  3. Step 3: Cross multiply
    9,977.70x = 13,774.14 × 6,442.86
  4. Step 4: Simplify right side
    9,977.70x = 88,744,855.64
  5. Step 5: Solve for x
    x = 88,744,855.64/9,977.70
  6. Step 6: Final answer
    x = 8,894.32

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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.