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Finding the Fourth Proportional to 7,707.51, 10,640.94 and 5,059.56

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Solution

The fourth proportional to 7,707.51, 10,640.94 and 5,059.56 is: 6,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.51 : 10,640.94 = 5,059.56 : x
  2. Step 2: Convert to fraction form
    7,707.51/10,640.94 = 5,059.56/x
  3. Step 3: Cross multiply
    7,707.51x = 10,640.94 × 5,059.56
  4. Step 4: Simplify right side
    7,707.51x = 53,838,474.39
  5. Step 5: Solve for x
    x = 53,838,474.39/7,707.51
  6. Step 6: Final answer
    x = 6,985.20

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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.