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Finding the Fourth Proportional to 6,412.76, 8,849.74 and 3,618.24

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Solution

The fourth proportional to 6,412.76, 8,849.74 and 3,618.24 is: 4,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.76 : 8,849.74 = 3,618.24 : x
  2. Step 2: Convert to fraction form
    6,412.76/8,849.74 = 3,618.24/x
  3. Step 3: Cross multiply
    6,412.76x = 8,849.74 × 3,618.24
  4. Step 4: Simplify right side
    6,412.76x = 32,020,483.26
  5. Step 5: Solve for x
    x = 32,020,483.26/6,412.76
  6. Step 6: Final answer
    x = 4,993.25

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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.