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Finding the Fourth Proportional to 2,577.66, 3,558.72 and 1,695

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Solution

The fourth proportional to 2,577.66, 3,558.72 and 1,695 is: 2,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.66 : 3,558.72 = 1,695 : x
  2. Step 2: Convert to fraction form
    2,577.66/3,558.72 = 1,695/x
  3. Step 3: Cross multiply
    2,577.66x = 3,558.72 × 1,695
  4. Step 4: Simplify right side
    2,577.66x = 6,032,030.40
  5. Step 5: Solve for x
    x = 6,032,030.40/2,577.66
  6. Step 6: Final answer
    x = 2,340.12

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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.