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Finding the Fourth Proportional to 5,073.69, 7,613.94 and 1,786.80

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Solution

The fourth proportional to 5,073.69, 7,613.94 and 1,786.80 is: 2,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.69 : 7,613.94 = 1,786.80 : x
  2. Step 2: Convert to fraction form
    5,073.69/7,613.94 = 1,786.80/x
  3. Step 3: Cross multiply
    5,073.69x = 7,613.94 × 1,786.80
  4. Step 4: Simplify right side
    5,073.69x = 13,604,587.99
  5. Step 5: Solve for x
    x = 13,604,587.99/5,073.69
  6. Step 6: Final answer
    x = 2,681.40

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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.