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Finding the Fourth Proportional to 7,866.72, 10,853.64 and 4,678.56

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Solution

The fourth proportional to 7,866.72, 10,853.64 and 4,678.56 is: 6,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.72 : 10,853.64 = 4,678.56 : x
  2. Step 2: Convert to fraction form
    7,866.72/10,853.64 = 4,678.56/x
  3. Step 3: Cross multiply
    7,866.72x = 10,853.64 × 4,678.56
  4. Step 4: Simplify right side
    7,866.72x = 50,779,405.96
  5. Step 5: Solve for x
    x = 50,779,405.96/7,866.72
  6. Step 6: Final answer
    x = 6,454.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.