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Finding the Fourth Proportional to 1,978.01, 2,730.07 and 1,646.11

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Solution

The fourth proportional to 1,978.01, 2,730.07 and 1,646.11 is: 2,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.01 : 2,730.07 = 1,646.11 : x
  2. Step 2: Convert to fraction form
    1,978.01/2,730.07 = 1,646.11/x
  3. Step 3: Cross multiply
    1,978.01x = 2,730.07 × 1,646.11
  4. Step 4: Simplify right side
    1,978.01x = 4,493,995.53
  5. Step 5: Solve for x
    x = 4,493,995.53/1,978.01
  6. Step 6: Final answer
    x = 2,271.98

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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.