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Finding the Fourth Proportional to 4,862.80, 7,277.40 and 2,916.40

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Solution

The fourth proportional to 4,862.80, 7,277.40 and 2,916.40 is: 4,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.80 : 7,277.40 = 2,916.40 : x
  2. Step 2: Convert to fraction form
    4,862.80/7,277.40 = 2,916.40/x
  3. Step 3: Cross multiply
    4,862.80x = 7,277.40 × 2,916.40
  4. Step 4: Simplify right side
    4,862.80x = 21,223,809.36
  5. Step 5: Solve for x
    x = 21,223,809.36/4,862.80
  6. Step 6: Final answer
    x = 4,364.52

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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.