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Finding the Fourth Proportional to 4,678.77, 7,018.54 and 1,391.87

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Solution

The fourth proportional to 4,678.77, 7,018.54 and 1,391.87 is: 2,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.77 : 7,018.54 = 1,391.87 : x
  2. Step 2: Convert to fraction form
    4,678.77/7,018.54 = 1,391.87/x
  3. Step 3: Cross multiply
    4,678.77x = 7,018.54 × 1,391.87
  4. Step 4: Simplify right side
    4,678.77x = 9,768,895.27
  5. Step 5: Solve for x
    x = 9,768,895.27/4,678.77
  6. Step 6: Final answer
    x = 2,087.92

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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.