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Finding the Fourth Proportional to 6,354, 9,530.52 and 1,971.36

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Solution

The fourth proportional to 6,354, 9,530.52 and 1,971.36 is: 2,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354 : 9,530.52 = 1,971.36 : x
  2. Step 2: Convert to fraction form
    6,354/9,530.52 = 1,971.36/x
  3. Step 3: Cross multiply
    6,354x = 9,530.52 × 1,971.36
  4. Step 4: Simplify right side
    6,354x = 18,788,085.91
  5. Step 5: Solve for x
    x = 18,788,085.91/6,354
  6. Step 6: Final answer
    x = 2,956.89

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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.