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Finding the Fourth Proportional to 9,798.80, 14,692.80 and 4,251.20

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Solution

The fourth proportional to 9,798.80, 14,692.80 and 4,251.20 is: 6,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.80 : 14,692.80 = 4,251.20 : x
  2. Step 2: Convert to fraction form
    9,798.80/14,692.80 = 4,251.20/x
  3. Step 3: Cross multiply
    9,798.80x = 14,692.80 × 4,251.20
  4. Step 4: Simplify right side
    9,798.80x = 62,462,031.36
  5. Step 5: Solve for x
    x = 62,462,031.36/9,798.80
  6. Step 6: Final answer
    x = 6,374.46

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1.5x scale

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.