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Finding the Fourth Proportional to 6,509.45, 8,955.32 and 5,749.47

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Solution

The fourth proportional to 6,509.45, 8,955.32 and 5,749.47 is: 7,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.45 : 8,955.32 = 5,749.47 : x
  2. Step 2: Convert to fraction form
    6,509.45/8,955.32 = 5,749.47/x
  3. Step 3: Cross multiply
    6,509.45x = 8,955.32 × 5,749.47
  4. Step 4: Simplify right side
    6,509.45x = 51,488,343.68
  5. Step 5: Solve for x
    x = 51,488,343.68/6,509.45
  6. Step 6: Final answer
    x = 7,909.78

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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.