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Finding the Fourth Proportional to 1,821.12, 2,731.48 and 651.08

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Solution

The fourth proportional to 1,821.12, 2,731.48 and 651.08 is: 976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.12 : 2,731.48 = 651.08 : x
  2. Step 2: Convert to fraction form
    1,821.12/2,731.48 = 651.08/x
  3. Step 3: Cross multiply
    1,821.12x = 2,731.48 × 651.08
  4. Step 4: Simplify right side
    1,821.12x = 1,778,412.00
  5. Step 5: Solve for x
    x = 1,778,412.00/1,821.12
  6. Step 6: Final answer
    x = 976.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.