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Finding the Fourth Proportional to 7,707.98, 11,494.28 and 7,637.83

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Solution

The fourth proportional to 7,707.98, 11,494.28 and 7,637.83 is: 11,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.98 : 11,494.28 = 7,637.83 : x
  2. Step 2: Convert to fraction form
    7,707.98/11,494.28 = 7,637.83/x
  3. Step 3: Cross multiply
    7,707.98x = 11,494.28 × 7,637.83
  4. Step 4: Simplify right side
    7,707.98x = 87,791,346.97
  5. Step 5: Solve for x
    x = 87,791,346.97/7,707.98
  6. Step 6: Final answer
    x = 11,389.67

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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.