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Finding the Fourth Proportional to 7,710.51, 11,565.80 and 1,867.11

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Solution

The fourth proportional to 7,710.51, 11,565.80 and 1,867.11 is: 2,800.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.51 : 11,565.80 = 1,867.11 : x
  2. Step 2: Convert to fraction form
    7,710.51/11,565.80 = 1,867.11/x
  3. Step 3: Cross multiply
    7,710.51x = 11,565.80 × 1,867.11
  4. Step 4: Simplify right side
    7,710.51x = 21,594,620.84
  5. Step 5: Solve for x
    x = 21,594,620.84/7,710.51
  6. Step 6: Final answer
    x = 2,800.67

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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.