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Finding the Fourth Proportional to 1,486.32, 2,051.12 and 823.16

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Solution

The fourth proportional to 1,486.32, 2,051.12 and 823.16 is: 1,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.32 : 2,051.12 = 823.16 : x
  2. Step 2: Convert to fraction form
    1,486.32/2,051.12 = 823.16/x
  3. Step 3: Cross multiply
    1,486.32x = 2,051.12 × 823.16
  4. Step 4: Simplify right side
    1,486.32x = 1,688,399.94
  5. Step 5: Solve for x
    x = 1,688,399.94/1,486.32
  6. Step 6: Final answer
    x = 1,135.96

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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.