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Finding the Fourth Proportional to 9,199.72, 13,798.14 and 3,043.72

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Solution

The fourth proportional to 9,199.72, 13,798.14 and 3,043.72 is: 4,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.72 : 13,798.14 = 3,043.72 : x
  2. Step 2: Convert to fraction form
    9,199.72/13,798.14 = 3,043.72/x
  3. Step 3: Cross multiply
    9,199.72x = 13,798.14 × 3,043.72
  4. Step 4: Simplify right side
    9,199.72x = 41,997,674.68
  5. Step 5: Solve for x
    x = 41,997,674.68/9,199.72
  6. Step 6: Final answer
    x = 4,565.10

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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.