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Finding the Fourth Proportional to 5,726.40, 7,902 and 3,368.40

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Solution

The fourth proportional to 5,726.40, 7,902 and 3,368.40 is: 4,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.40 : 7,902 = 3,368.40 : x
  2. Step 2: Convert to fraction form
    5,726.40/7,902 = 3,368.40/x
  3. Step 3: Cross multiply
    5,726.40x = 7,902 × 3,368.40
  4. Step 4: Simplify right side
    5,726.40x = 26,617,096.80
  5. Step 5: Solve for x
    x = 26,617,096.80/5,726.40
  6. Step 6: Final answer
    x = 4,648.14

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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.