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Finding the Fourth Proportional to 6,369.12, 9,540 and 4,897.44

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Solution

The fourth proportional to 6,369.12, 9,540 and 4,897.44 is: 7,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.12 : 9,540 = 4,897.44 : x
  2. Step 2: Convert to fraction form
    6,369.12/9,540 = 4,897.44/x
  3. Step 3: Cross multiply
    6,369.12x = 9,540 × 4,897.44
  4. Step 4: Simplify right side
    6,369.12x = 46,721,577.60
  5. Step 5: Solve for x
    x = 46,721,577.60/6,369.12
  6. Step 6: Final answer
    x = 7,335.64

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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.