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Finding the Fourth Proportional to 7,876.65, 10,866.33 and 4,731

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Solution

The fourth proportional to 7,876.65, 10,866.33 and 4,731 is: 6,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.65 : 10,866.33 = 4,731 : x
  2. Step 2: Convert to fraction form
    7,876.65/10,866.33 = 4,731/x
  3. Step 3: Cross multiply
    7,876.65x = 10,866.33 × 4,731
  4. Step 4: Simplify right side
    7,876.65x = 51,408,607.23
  5. Step 5: Solve for x
    x = 51,408,607.23/7,876.65
  6. Step 6: Final answer
    x = 6,526.71

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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.