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Finding the Fourth Proportional to 3,389.72, 5,060.14 and 2,894

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Solution

The fourth proportional to 3,389.72, 5,060.14 and 2,894 is: 4,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.72 : 5,060.14 = 2,894 : x
  2. Step 2: Convert to fraction form
    3,389.72/5,060.14 = 2,894/x
  3. Step 3: Cross multiply
    3,389.72x = 5,060.14 × 2,894
  4. Step 4: Simplify right side
    3,389.72x = 14,644,045.16
  5. Step 5: Solve for x
    x = 14,644,045.16/3,389.72
  6. Step 6: Final answer
    x = 4,320.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.