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Finding the Fourth Proportional to 6,423.65, 8,865.20 and 3,905.15

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Solution

The fourth proportional to 6,423.65, 8,865.20 and 3,905.15 is: 5,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.65 : 8,865.20 = 3,905.15 : x
  2. Step 2: Convert to fraction form
    6,423.65/8,865.20 = 3,905.15/x
  3. Step 3: Cross multiply
    6,423.65x = 8,865.20 × 3,905.15
  4. Step 4: Simplify right side
    6,423.65x = 34,619,967.71
  5. Step 5: Solve for x
    x = 34,619,967.71/6,423.65
  6. Step 6: Final answer
    x = 5,389.46

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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.