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Finding the Fourth Proportional to 2,648.02, 3,972.02 and 916.64

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Solution

The fourth proportional to 2,648.02, 3,972.02 and 916.64 is: 1,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.02 : 3,972.02 = 916.64 : x
  2. Step 2: Convert to fraction form
    2,648.02/3,972.02 = 916.64/x
  3. Step 3: Cross multiply
    2,648.02x = 3,972.02 × 916.64
  4. Step 4: Simplify right side
    2,648.02x = 3,640,924.63
  5. Step 5: Solve for x
    x = 3,640,924.63/2,648.02
  6. Step 6: Final answer
    x = 1,374.96

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1.5x scale

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.