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Finding the Fourth Proportional to 2,470, 3,686.04 and 2,207.28

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Solution

The fourth proportional to 2,470, 3,686.04 and 2,207.28 is: 3,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 3,686.04 = 2,207.28 : x
  2. Step 2: Convert to fraction form
    2,470/3,686.04 = 2,207.28/x
  3. Step 3: Cross multiply
    2,470x = 3,686.04 × 2,207.28
  4. Step 4: Simplify right side
    2,470x = 8,136,122.37
  5. Step 5: Solve for x
    x = 8,136,122.37/2,470
  6. Step 6: Final answer
    x = 3,293.98

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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.