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Finding the Fourth Proportional to 1,406.32, 1,941.49 and 846.93

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Solution

The fourth proportional to 1,406.32, 1,941.49 and 846.93 is: 1,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.32 : 1,941.49 = 846.93 : x
  2. Step 2: Convert to fraction form
    1,406.32/1,941.49 = 846.93/x
  3. Step 3: Cross multiply
    1,406.32x = 1,941.49 × 846.93
  4. Step 4: Simplify right side
    1,406.32x = 1,644,299.90
  5. Step 5: Solve for x
    x = 1,644,299.90/1,406.32
  6. Step 6: Final answer
    x = 1,169.22

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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.