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Finding the Fourth Proportional to 7,020.68, 9,692.10 and 4,898.12

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Solution

The fourth proportional to 7,020.68, 9,692.10 and 4,898.12 is: 6,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.68 : 9,692.10 = 4,898.12 : x
  2. Step 2: Convert to fraction form
    7,020.68/9,692.10 = 4,898.12/x
  3. Step 3: Cross multiply
    7,020.68x = 9,692.10 × 4,898.12
  4. Step 4: Simplify right side
    7,020.68x = 47,473,068.85
  5. Step 5: Solve for x
    x = 47,473,068.85/7,020.68
  6. Step 6: Final answer
    x = 6,761.89

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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.