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Finding the Fourth Proportional to 9,885.84, 13,647.36 and 6,758.40

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Solution

The fourth proportional to 9,885.84, 13,647.36 and 6,758.40 is: 9,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.84 : 13,647.36 = 6,758.40 : x
  2. Step 2: Convert to fraction form
    9,885.84/13,647.36 = 6,758.40/x
  3. Step 3: Cross multiply
    9,885.84x = 13,647.36 × 6,758.40
  4. Step 4: Simplify right side
    9,885.84x = 92,234,317.82
  5. Step 5: Solve for x
    x = 92,234,317.82/9,885.84
  6. Step 6: Final answer
    x = 9,329.94

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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.