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Finding the Fourth Proportional to 12,178.40, 18,254.10 and 4,780.40

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Solution

The fourth proportional to 12,178.40, 18,254.10 and 4,780.40 is: 7,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.40 : 18,254.10 = 4,780.40 : x
  2. Step 2: Convert to fraction form
    12,178.40/18,254.10 = 4,780.40/x
  3. Step 3: Cross multiply
    12,178.40x = 18,254.10 × 4,780.40
  4. Step 4: Simplify right side
    12,178.40x = 87,261,899.64
  5. Step 5: Solve for x
    x = 87,261,899.64/12,178.40
  6. Step 6: Final answer
    x = 7,165.30

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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.