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Finding the Fourth Proportional to 1,484.36, 2,048.25 and 821.12

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Solution

The fourth proportional to 1,484.36, 2,048.25 and 821.12 is: 1,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.36 : 2,048.25 = 821.12 : x
  2. Step 2: Convert to fraction form
    1,484.36/2,048.25 = 821.12/x
  3. Step 3: Cross multiply
    1,484.36x = 2,048.25 × 821.12
  4. Step 4: Simplify right side
    1,484.36x = 1,681,859.04
  5. Step 5: Solve for x
    x = 1,681,859.04/1,484.36
  6. Step 6: Final answer
    x = 1,133.05

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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.