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Finding the Fourth Proportional to 6,400.06, 9,599.30 and 1,720.42

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Solution

The fourth proportional to 6,400.06, 9,599.30 and 1,720.42 is: 2,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.06 : 9,599.30 = 1,720.42 : x
  2. Step 2: Convert to fraction form
    6,400.06/9,599.30 = 1,720.42/x
  3. Step 3: Cross multiply
    6,400.06x = 9,599.30 × 1,720.42
  4. Step 4: Simplify right side
    6,400.06x = 16,514,827.71
  5. Step 5: Solve for x
    x = 16,514,827.71/6,400.06
  6. Step 6: Final answer
    x = 2,580.42

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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.