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Finding the Fourth Proportional to 7,678.77, 10,587 and 5,021.97

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Solution

The fourth proportional to 7,678.77, 10,587 and 5,021.97 is: 6,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.77 : 10,587 = 5,021.97 : x
  2. Step 2: Convert to fraction form
    7,678.77/10,587 = 5,021.97/x
  3. Step 3: Cross multiply
    7,678.77x = 10,587 × 5,021.97
  4. Step 4: Simplify right side
    7,678.77x = 53,167,596.39
  5. Step 5: Solve for x
    x = 53,167,596.39/7,678.77
  6. Step 6: Final answer
    x = 6,923.97

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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.