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Finding the Fourth Proportional to 7,605.76, 11,409.72 and 3,707.50

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Solution

The fourth proportional to 7,605.76, 11,409.72 and 3,707.50 is: 5,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.76 : 11,409.72 = 3,707.50 : x
  2. Step 2: Convert to fraction form
    7,605.76/11,409.72 = 3,707.50/x
  3. Step 3: Cross multiply
    7,605.76x = 11,409.72 × 3,707.50
  4. Step 4: Simplify right side
    7,605.76x = 42,301,536.90
  5. Step 5: Solve for x
    x = 42,301,536.90/7,605.76
  6. Step 6: Final answer
    x = 5,561.78

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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.