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Finding the Fourth Proportional to 9,421, 14,133.76 and 2,846.78

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Solution

The fourth proportional to 9,421, 14,133.76 and 2,846.78 is: 4,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421 : 14,133.76 = 2,846.78 : x
  2. Step 2: Convert to fraction form
    9,421/14,133.76 = 2,846.78/x
  3. Step 3: Cross multiply
    9,421x = 14,133.76 × 2,846.78
  4. Step 4: Simplify right side
    9,421x = 40,235,705.29
  5. Step 5: Solve for x
    x = 40,235,705.29/9,421
  6. Step 6: Final answer
    x = 4,270.85

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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.