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Finding the Fourth Proportional to 6,575, 9,864.12 and 1,958

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Solution

The fourth proportional to 6,575, 9,864.12 and 1,958 is: 2,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575 : 9,864.12 = 1,958 : x
  2. Step 2: Convert to fraction form
    6,575/9,864.12 = 1,958/x
  3. Step 3: Cross multiply
    6,575x = 9,864.12 × 1,958
  4. Step 4: Simplify right side
    6,575x = 19,313,946.96
  5. Step 5: Solve for x
    x = 19,313,946.96/6,575
  6. Step 6: Final answer
    x = 2,937.48

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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.