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Finding the Fourth Proportional to 9,719.12, 14,603.88 and 8,489.84

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Solution

The fourth proportional to 9,719.12, 14,603.88 and 8,489.84 is: 12,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.12 : 14,603.88 = 8,489.84 : x
  2. Step 2: Convert to fraction form
    9,719.12/14,603.88 = 8,489.84/x
  3. Step 3: Cross multiply
    9,719.12x = 14,603.88 × 8,489.84
  4. Step 4: Simplify right side
    9,719.12x = 123,984,604.58
  5. Step 5: Solve for x
    x = 123,984,604.58/9,719.12
  6. Step 6: Final answer
    x = 12,756.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.