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Finding the Fourth Proportional to 6,498.72, 9,742.32 and 5,980.32

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Solution

The fourth proportional to 6,498.72, 9,742.32 and 5,980.32 is: 8,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.72 : 9,742.32 = 5,980.32 : x
  2. Step 2: Convert to fraction form
    6,498.72/9,742.32 = 5,980.32/x
  3. Step 3: Cross multiply
    6,498.72x = 9,742.32 × 5,980.32
  4. Step 4: Simplify right side
    6,498.72x = 58,262,191.14
  5. Step 5: Solve for x
    x = 58,262,191.14/6,498.72
  6. Step 6: Final answer
    x = 8,965.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.