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Finding the Fourth Proportional to 6,477.74, 9,666.09 and 5,779.61

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Solution

The fourth proportional to 6,477.74, 9,666.09 and 5,779.61 is: 8,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.74 : 9,666.09 = 5,779.61 : x
  2. Step 2: Convert to fraction form
    6,477.74/9,666.09 = 5,779.61/x
  3. Step 3: Cross multiply
    6,477.74x = 9,666.09 × 5,779.61
  4. Step 4: Simplify right side
    6,477.74x = 55,866,171.32
  5. Step 5: Solve for x
    x = 55,866,171.32/6,477.74
  6. Step 6: Final answer
    x = 8,624.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.