Home / 1,378.42-1,902.09-1,117.06

Finding the Fourth Proportional to 1,378.42, 1,902.09 and 1,117.06

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Solution

The fourth proportional to 1,378.42, 1,902.09 and 1,117.06 is: 1,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.42 : 1,902.09 = 1,117.06 : x
  2. Step 2: Convert to fraction form
    1,378.42/1,902.09 = 1,117.06/x
  3. Step 3: Cross multiply
    1,378.42x = 1,902.09 × 1,117.06
  4. Step 4: Simplify right side
    1,378.42x = 2,124,748.66
  5. Step 5: Solve for x
    x = 2,124,748.66/1,378.42
  6. Step 6: Final answer
    x = 1,541.44

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Half scale
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Double scale
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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.