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Finding the Fourth Proportional to 7,663.51, 10,581.55 and 6,178.06

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Solution

The fourth proportional to 7,663.51, 10,581.55 and 6,178.06 is: 8,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.51 : 10,581.55 = 6,178.06 : x
  2. Step 2: Convert to fraction form
    7,663.51/10,581.55 = 6,178.06/x
  3. Step 3: Cross multiply
    7,663.51x = 10,581.55 × 6,178.06
  4. Step 4: Simplify right side
    7,663.51x = 65,373,450.79
  5. Step 5: Solve for x
    x = 65,373,450.79/7,663.51
  6. Step 6: Final answer
    x = 8,530.48

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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.