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Finding the Fourth Proportional to 1,639.16, 2,261.94 and 893.10

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Solution

The fourth proportional to 1,639.16, 2,261.94 and 893.10 is: 1,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.16 : 2,261.94 = 893.10 : x
  2. Step 2: Convert to fraction form
    1,639.16/2,261.94 = 893.10/x
  3. Step 3: Cross multiply
    1,639.16x = 2,261.94 × 893.10
  4. Step 4: Simplify right side
    1,639.16x = 2,020,138.61
  5. Step 5: Solve for x
    x = 2,020,138.61/1,639.16
  6. Step 6: Final answer
    x = 1,232.42

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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.