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Finding the Fourth Proportional to 3,838.47, 5,297 and 2,346.40

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Solution

The fourth proportional to 3,838.47, 5,297 and 2,346.40 is: 3,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.47 : 5,297 = 2,346.40 : x
  2. Step 2: Convert to fraction form
    3,838.47/5,297 = 2,346.40/x
  3. Step 3: Cross multiply
    3,838.47x = 5,297 × 2,346.40
  4. Step 4: Simplify right side
    3,838.47x = 12,428,880.80
  5. Step 5: Solve for x
    x = 12,428,880.80/3,838.47
  6. Step 6: Final answer
    x = 3,237.98

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1.5x scale

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.