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Finding the Fourth Proportional to 6,509.36, 8,973.24 and 5,109.68

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Solution

The fourth proportional to 6,509.36, 8,973.24 and 5,109.68 is: 7,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.36 : 8,973.24 = 5,109.68 : x
  2. Step 2: Convert to fraction form
    6,509.36/8,973.24 = 5,109.68/x
  3. Step 3: Cross multiply
    6,509.36x = 8,973.24 × 5,109.68
  4. Step 4: Simplify right side
    6,509.36x = 45,850,384.96
  5. Step 5: Solve for x
    x = 45,850,384.96/6,509.36
  6. Step 6: Final answer
    x = 7,043.76

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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.