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Finding the Fourth Proportional to 4,838.40, 7,258.06 and 1,916.02

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Solution

The fourth proportional to 4,838.40, 7,258.06 and 1,916.02 is: 2,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.40 : 7,258.06 = 1,916.02 : x
  2. Step 2: Convert to fraction form
    4,838.40/7,258.06 = 1,916.02/x
  3. Step 3: Cross multiply
    4,838.40x = 7,258.06 × 1,916.02
  4. Step 4: Simplify right side
    4,838.40x = 13,906,588.12
  5. Step 5: Solve for x
    x = 13,906,588.12/4,838.40
  6. Step 6: Final answer
    x = 2,874.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.