Home / 1,484.16-2,048.10-821.09

Finding the Fourth Proportional to 1,484.16, 2,048.10 and 821.09

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Solution

The fourth proportional to 1,484.16, 2,048.10 and 821.09 is: 1,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.16 : 2,048.10 = 821.09 : x
  2. Step 2: Convert to fraction form
    1,484.16/2,048.10 = 821.09/x
  3. Step 3: Cross multiply
    1,484.16x = 2,048.10 × 821.09
  4. Step 4: Simplify right side
    1,484.16x = 1,681,664.19
  5. Step 5: Solve for x
    x = 1,681,664.19/1,484.16
  6. Step 6: Final answer
    x = 1,133.07

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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.