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Finding the Fourth Proportional to 7,710.58, 11,565.87 and 2,164.51

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Solution

The fourth proportional to 7,710.58, 11,565.87 and 2,164.51 is: 3,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.58 : 11,565.87 = 2,164.51 : x
  2. Step 2: Convert to fraction form
    7,710.58/11,565.87 = 2,164.51/x
  3. Step 3: Cross multiply
    7,710.58x = 11,565.87 × 2,164.51
  4. Step 4: Simplify right side
    7,710.58x = 25,034,441.27
  5. Step 5: Solve for x
    x = 25,034,441.27/7,710.58
  6. Step 6: Final answer
    x = 3,246.77

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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.