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Finding the Fourth Proportional to 1,381.41, 2,070.90 and 894.60

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Solution

The fourth proportional to 1,381.41, 2,070.90 and 894.60 is: 1,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.41 : 2,070.90 = 894.60 : x
  2. Step 2: Convert to fraction form
    1,381.41/2,070.90 = 894.60/x
  3. Step 3: Cross multiply
    1,381.41x = 2,070.90 × 894.60
  4. Step 4: Simplify right side
    1,381.41x = 1,852,627.14
  5. Step 5: Solve for x
    x = 1,852,627.14/1,381.41
  6. Step 6: Final answer
    x = 1,341.11

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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.