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Finding the Fourth Proportional to 9,345.20, 14,023.20 and 3,502.40

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Solution

The fourth proportional to 9,345.20, 14,023.20 and 3,502.40 is: 5,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.20 : 14,023.20 = 3,502.40 : x
  2. Step 2: Convert to fraction form
    9,345.20/14,023.20 = 3,502.40/x
  3. Step 3: Cross multiply
    9,345.20x = 14,023.20 × 3,502.40
  4. Step 4: Simplify right side
    9,345.20x = 49,114,855.68
  5. Step 5: Solve for x
    x = 49,114,855.68/9,345.20
  6. Step 6: Final answer
    x = 5,255.62

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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.