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Finding the Fourth Proportional to 4,692.48, 7,038.72 and 2,742.72

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Solution

The fourth proportional to 4,692.48, 7,038.72 and 2,742.72 is: 4,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.48 : 7,038.72 = 2,742.72 : x
  2. Step 2: Convert to fraction form
    4,692.48/7,038.72 = 2,742.72/x
  3. Step 3: Cross multiply
    4,692.48x = 7,038.72 × 2,742.72
  4. Step 4: Simplify right side
    4,692.48x = 19,305,238.12
  5. Step 5: Solve for x
    x = 19,305,238.12/4,692.48
  6. Step 6: Final answer
    x = 4,114.08

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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.