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Finding the Fourth Proportional to 1,342.16, 1,852.11 and 811.17

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Solution

The fourth proportional to 1,342.16, 1,852.11 and 811.17 is: 1,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.16 : 1,852.11 = 811.17 : x
  2. Step 2: Convert to fraction form
    1,342.16/1,852.11 = 811.17/x
  3. Step 3: Cross multiply
    1,342.16x = 1,852.11 × 811.17
  4. Step 4: Simplify right side
    1,342.16x = 1,502,376.07
  5. Step 5: Solve for x
    x = 1,502,376.07/1,342.16
  6. Step 6: Final answer
    x = 1,119.38

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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.