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Finding the Fourth Proportional to 9,885.20, 14,822.40 and 4,035.20

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Solution

The fourth proportional to 9,885.20, 14,822.40 and 4,035.20 is: 6,050.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.20 : 14,822.40 = 4,035.20 : x
  2. Step 2: Convert to fraction form
    9,885.20/14,822.40 = 4,035.20/x
  3. Step 3: Cross multiply
    9,885.20x = 14,822.40 × 4,035.20
  4. Step 4: Simplify right side
    9,885.20x = 59,811,348.48
  5. Step 5: Solve for x
    x = 59,811,348.48/9,885.20
  6. Step 6: Final answer
    x = 6,050.60

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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.