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Finding the Fourth Proportional to 4,658.72, 6,988.26 and 1,371.74

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Solution

The fourth proportional to 4,658.72, 6,988.26 and 1,371.74 is: 2,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.72 : 6,988.26 = 1,371.74 : x
  2. Step 2: Convert to fraction form
    4,658.72/6,988.26 = 1,371.74/x
  3. Step 3: Cross multiply
    4,658.72x = 6,988.26 × 1,371.74
  4. Step 4: Simplify right side
    4,658.72x = 9,586,075.77
  5. Step 5: Solve for x
    x = 9,586,075.77/4,658.72
  6. Step 6: Final answer
    x = 2,057.66

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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.