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Finding the Fourth Proportional to 7,823.65, 11,678.57 and 7,245.46

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Solution

The fourth proportional to 7,823.65, 11,678.57 and 7,245.46 is: 10,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.65 : 11,678.57 = 7,245.46 : x
  2. Step 2: Convert to fraction form
    7,823.65/11,678.57 = 7,245.46/x
  3. Step 3: Cross multiply
    7,823.65x = 11,678.57 × 7,245.46
  4. Step 4: Simplify right side
    7,823.65x = 84,616,649.99
  5. Step 5: Solve for x
    x = 84,616,649.99/7,823.65
  6. Step 6: Final answer
    x = 10,815.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.