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Finding the Fourth Proportional to 6,347, 8,758.48 and 3,514.28

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Solution

The fourth proportional to 6,347, 8,758.48 and 3,514.28 is: 4,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347 : 8,758.48 = 3,514.28 : x
  2. Step 2: Convert to fraction form
    6,347/8,758.48 = 3,514.28/x
  3. Step 3: Cross multiply
    6,347x = 8,758.48 × 3,514.28
  4. Step 4: Simplify right side
    6,347x = 30,779,751.09
  5. Step 5: Solve for x
    x = 30,779,751.09/6,347
  6. Step 6: Final answer
    x = 4,849.50

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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.