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Finding the Fourth Proportional to 10,570.72, 15,855.15 and 6,409.50

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Solution

The fourth proportional to 10,570.72, 15,855.15 and 6,409.50 is: 9,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.72 : 15,855.15 = 6,409.50 : x
  2. Step 2: Convert to fraction form
    10,570.72/15,855.15 = 6,409.50/x
  3. Step 3: Cross multiply
    10,570.72x = 15,855.15 × 6,409.50
  4. Step 4: Simplify right side
    10,570.72x = 101,623,504.65
  5. Step 5: Solve for x
    x = 101,623,504.65/10,570.72
  6. Step 6: Final answer
    x = 9,613.68

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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.