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Finding the Fourth Proportional to 7,853.91, 11,782.46 and 7,069.70

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Solution

The fourth proportional to 7,853.91, 11,782.46 and 7,069.70 is: 10,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.91 : 11,782.46 = 7,069.70 : x
  2. Step 2: Convert to fraction form
    7,853.91/11,782.46 = 7,069.70/x
  3. Step 3: Cross multiply
    7,853.91x = 11,782.46 × 7,069.70
  4. Step 4: Simplify right side
    7,853.91x = 83,298,457.46
  5. Step 5: Solve for x
    x = 83,298,457.46/7,853.91
  6. Step 6: Final answer
    x = 10,605.99

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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.