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Finding the Fourth Proportional to 3,313.42, 4,572.71 and 1,916.17

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Solution

The fourth proportional to 3,313.42, 4,572.71 and 1,916.17 is: 2,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.42 : 4,572.71 = 1,916.17 : x
  2. Step 2: Convert to fraction form
    3,313.42/4,572.71 = 1,916.17/x
  3. Step 3: Cross multiply
    3,313.42x = 4,572.71 × 1,916.17
  4. Step 4: Simplify right side
    3,313.42x = 8,762,080.14
  5. Step 5: Solve for x
    x = 8,762,080.14/3,313.42
  6. Step 6: Final answer
    x = 2,644.42

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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.