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Finding the Fourth Proportional to 9,771.65, 14,665.35 and 5,557.49

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Solution

The fourth proportional to 9,771.65, 14,665.35 and 5,557.49 is: 8,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.65 : 14,665.35 = 5,557.49 : x
  2. Step 2: Convert to fraction form
    9,771.65/14,665.35 = 5,557.49/x
  3. Step 3: Cross multiply
    9,771.65x = 14,665.35 × 5,557.49
  4. Step 4: Simplify right side
    9,771.65x = 81,502,535.97
  5. Step 5: Solve for x
    x = 81,502,535.97/9,771.65
  6. Step 6: Final answer
    x = 8,340.71

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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.