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Finding the Fourth Proportional to 5,212.99, 7,820.00 and 1,514.23

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Solution

The fourth proportional to 5,212.99, 7,820.00 and 1,514.23 is: 2,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.99 : 7,820.00 = 1,514.23 : x
  2. Step 2: Convert to fraction form
    5,212.99/7,820.00 = 1,514.23/x
  3. Step 3: Cross multiply
    5,212.99x = 7,820.00 × 1,514.23
  4. Step 4: Simplify right side
    5,212.99x = 11,841,257.16
  5. Step 5: Solve for x
    x = 11,841,257.16/5,212.99
  6. Step 6: Final answer
    x = 2,271.49

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Double scale
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Similar ratio
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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.