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Finding the Fourth Proportional to 1,821.21, 2,731.95 and 651.45

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Solution

The fourth proportional to 1,821.21, 2,731.95 and 651.45 is: 977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.21 : 2,731.95 = 651.45 : x
  2. Step 2: Convert to fraction form
    1,821.21/2,731.95 = 651.45/x
  3. Step 3: Cross multiply
    1,821.21x = 2,731.95 × 651.45
  4. Step 4: Simplify right side
    1,821.21x = 1,779,728.83
  5. Step 5: Solve for x
    x = 1,779,728.83/1,821.21
  6. Step 6: Final answer
    x = 977.22

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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.