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Finding the Fourth Proportional to 1,436.81, 1,981.87 and 846.92

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Solution

The fourth proportional to 1,436.81, 1,981.87 and 846.92 is: 1,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.81 : 1,981.87 = 846.92 : x
  2. Step 2: Convert to fraction form
    1,436.81/1,981.87 = 846.92/x
  3. Step 3: Cross multiply
    1,436.81x = 1,981.87 × 846.92
  4. Step 4: Simplify right side
    1,436.81x = 1,678,488.18
  5. Step 5: Solve for x
    x = 1,678,488.18/1,436.81
  6. Step 6: Final answer
    x = 1,168.21

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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.