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Finding the Fourth Proportional to 7,771.98, 11,663.43 and 3,390.69

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Solution

The fourth proportional to 7,771.98, 11,663.43 and 3,390.69 is: 5,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.98 : 11,663.43 = 3,390.69 : x
  2. Step 2: Convert to fraction form
    7,771.98/11,663.43 = 3,390.69/x
  3. Step 3: Cross multiply
    7,771.98x = 11,663.43 × 3,390.69
  4. Step 4: Simplify right side
    7,771.98x = 39,547,075.47
  5. Step 5: Solve for x
    x = 39,547,075.47/7,771.98
  6. Step 6: Final answer
    x = 5,088.42

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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.