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Finding the Fourth Proportional to 1,981.39, 2,971.73 and 885.55

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Solution

The fourth proportional to 1,981.39, 2,971.73 and 885.55 is: 1,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.39 : 2,971.73 = 885.55 : x
  2. Step 2: Convert to fraction form
    1,981.39/2,971.73 = 885.55/x
  3. Step 3: Cross multiply
    1,981.39x = 2,971.73 × 885.55
  4. Step 4: Simplify right side
    1,981.39x = 2,631,611.07
  5. Step 5: Solve for x
    x = 2,631,611.07/1,981.39
  6. Step 6: Final answer
    x = 1,328.16

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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.