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Finding the Fourth Proportional to 6,575.40, 9,863.10 and 4,739.40

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Solution

The fourth proportional to 6,575.40, 9,863.10 and 4,739.40 is: 7,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.40 : 9,863.10 = 4,739.40 : x
  2. Step 2: Convert to fraction form
    6,575.40/9,863.10 = 4,739.40/x
  3. Step 3: Cross multiply
    6,575.40x = 9,863.10 × 4,739.40
  4. Step 4: Simplify right side
    6,575.40x = 46,745,176.14
  5. Step 5: Solve for x
    x = 46,745,176.14/6,575.40
  6. Step 6: Final answer
    x = 7,109.10

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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.