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Finding the Fourth Proportional to 7,867.80, 11,817.84 and 7,605.36

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Solution

The fourth proportional to 7,867.80, 11,817.84 and 7,605.36 is: 11,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.80 : 11,817.84 = 7,605.36 : x
  2. Step 2: Convert to fraction form
    7,867.80/11,817.84 = 7,605.36/x
  3. Step 3: Cross multiply
    7,867.80x = 11,817.84 × 7,605.36
  4. Step 4: Simplify right side
    7,867.80x = 89,878,927.62
  5. Step 5: Solve for x
    x = 89,878,927.62/7,867.80
  6. Step 6: Final answer
    x = 11,423.64

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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.