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Finding the Fourth Proportional to 5,045.32, 6,963.68 and 2,808

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Solution

The fourth proportional to 5,045.32, 6,963.68 and 2,808 is: 3,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.32 : 6,963.68 = 2,808 : x
  2. Step 2: Convert to fraction form
    5,045.32/6,963.68 = 2,808/x
  3. Step 3: Cross multiply
    5,045.32x = 6,963.68 × 2,808
  4. Step 4: Simplify right side
    5,045.32x = 19,554,013.44
  5. Step 5: Solve for x
    x = 19,554,013.44/5,045.32
  6. Step 6: Final answer
    x = 3,875.67

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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.