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Finding the Fourth Proportional to 5,374, 7,416.16 and 3,137.40

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Solution

The fourth proportional to 5,374, 7,416.16 and 3,137.40 is: 4,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374 : 7,416.16 = 3,137.40 : x
  2. Step 2: Convert to fraction form
    5,374/7,416.16 = 3,137.40/x
  3. Step 3: Cross multiply
    5,374x = 7,416.16 × 3,137.40
  4. Step 4: Simplify right side
    5,374x = 23,267,460.38
  5. Step 5: Solve for x
    x = 23,267,460.38/5,374
  6. Step 6: Final answer
    x = 4,329.64

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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.