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Finding the Fourth Proportional to 10,453.65, 15,684.86 and 6,508.21

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Solution

The fourth proportional to 10,453.65, 15,684.86 and 6,508.21 is: 9,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.65 : 15,684.86 = 6,508.21 : x
  2. Step 2: Convert to fraction form
    10,453.65/15,684.86 = 6,508.21/x
  3. Step 3: Cross multiply
    10,453.65x = 15,684.86 × 6,508.21
  4. Step 4: Simplify right side
    10,453.65x = 102,080,362.70
  5. Step 5: Solve for x
    x = 102,080,362.70/10,453.65
  6. Step 6: Final answer
    x = 9,765.05

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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.