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Finding the Fourth Proportional to 4,658.56, 6,428.08 and 2,981.46

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Solution

The fourth proportional to 4,658.56, 6,428.08 and 2,981.46 is: 4,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.56 : 6,428.08 = 2,981.46 : x
  2. Step 2: Convert to fraction form
    4,658.56/6,428.08 = 2,981.46/x
  3. Step 3: Cross multiply
    4,658.56x = 6,428.08 × 2,981.46
  4. Step 4: Simplify right side
    4,658.56x = 19,165,063.40
  5. Step 5: Solve for x
    x = 19,165,063.40/4,658.56
  6. Step 6: Final answer
    x = 4,113.95

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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.