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Finding the Fourth Proportional to 6,509.56, 8,980.86 and 3,713.44

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Solution

The fourth proportional to 6,509.56, 8,980.86 and 3,713.44 is: 5,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.56 : 8,980.86 = 3,713.44 : x
  2. Step 2: Convert to fraction form
    6,509.56/8,980.86 = 3,713.44/x
  3. Step 3: Cross multiply
    6,509.56x = 8,980.86 × 3,713.44
  4. Step 4: Simplify right side
    6,509.56x = 33,349,884.76
  5. Step 5: Solve for x
    x = 33,349,884.76/6,509.56
  6. Step 6: Final answer
    x = 5,123.22

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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.