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Finding the Fourth Proportional to 9,430.78, 14,142.90 and 2,855.20

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Solution

The fourth proportional to 9,430.78, 14,142.90 and 2,855.20 is: 4,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.78 : 14,142.90 = 2,855.20 : x
  2. Step 2: Convert to fraction form
    9,430.78/14,142.90 = 2,855.20/x
  3. Step 3: Cross multiply
    9,430.78x = 14,142.90 × 2,855.20
  4. Step 4: Simplify right side
    9,430.78x = 40,380,808.08
  5. Step 5: Solve for x
    x = 40,380,808.08/9,430.78
  6. Step 6: Final answer
    x = 4,281.81

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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.