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Finding the Fourth Proportional to 6,507.76, 8,980.60 and 3,523.57

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Solution

The fourth proportional to 6,507.76, 8,980.60 and 3,523.57 is: 4,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.76 : 8,980.60 = 3,523.57 : x
  2. Step 2: Convert to fraction form
    6,507.76/8,980.60 = 3,523.57/x
  3. Step 3: Cross multiply
    6,507.76x = 8,980.60 × 3,523.57
  4. Step 4: Simplify right side
    6,507.76x = 31,643,772.74
  5. Step 5: Solve for x
    x = 31,643,772.74/6,507.76
  6. Step 6: Final answer
    x = 4,862.47

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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.