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Finding the Fourth Proportional to 6,440.74, 8,887.98 and 3,646.24

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Solution

The fourth proportional to 6,440.74, 8,887.98 and 3,646.24 is: 5,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.74 : 8,887.98 = 3,646.24 : x
  2. Step 2: Convert to fraction form
    6,440.74/8,887.98 = 3,646.24/x
  3. Step 3: Cross multiply
    6,440.74x = 8,887.98 × 3,646.24
  4. Step 4: Simplify right side
    6,440.74x = 32,407,708.20
  5. Step 5: Solve for x
    x = 32,407,708.20/6,440.74
  6. Step 6: Final answer
    x = 5,031.67

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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.