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Finding the Fourth Proportional to 9,405.50, 12,980.80 and 6,178.10

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Solution

The fourth proportional to 9,405.50, 12,980.80 and 6,178.10 is: 8,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.50 : 12,980.80 = 6,178.10 : x
  2. Step 2: Convert to fraction form
    9,405.50/12,980.80 = 6,178.10/x
  3. Step 3: Cross multiply
    9,405.50x = 12,980.80 × 6,178.10
  4. Step 4: Simplify right side
    9,405.50x = 80,196,680.48
  5. Step 5: Solve for x
    x = 80,196,680.48/9,405.50
  6. Step 6: Final answer
    x = 8,526.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.