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Finding the Fourth Proportional to 5,239.69, 7,859.53 and 1,776.94

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Solution

The fourth proportional to 5,239.69, 7,859.53 and 1,776.94 is: 2,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.69 : 7,859.53 = 1,776.94 : x
  2. Step 2: Convert to fraction form
    5,239.69/7,859.53 = 1,776.94/x
  3. Step 3: Cross multiply
    5,239.69x = 7,859.53 × 1,776.94
  4. Step 4: Simplify right side
    5,239.69x = 13,965,895.81
  5. Step 5: Solve for x
    x = 13,965,895.81/5,239.69
  6. Step 6: Final answer
    x = 2,665.41

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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.