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Finding the Fourth Proportional to 6,999.42, 10,502.64 and 3,301.50

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Solution

The fourth proportional to 6,999.42, 10,502.64 and 3,301.50 is: 4,953.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.42 : 10,502.64 = 3,301.50 : x
  2. Step 2: Convert to fraction form
    6,999.42/10,502.64 = 3,301.50/x
  3. Step 3: Cross multiply
    6,999.42x = 10,502.64 × 3,301.50
  4. Step 4: Simplify right side
    6,999.42x = 34,674,465.96
  5. Step 5: Solve for x
    x = 34,674,465.96/6,999.42
  6. Step 6: Final answer
    x = 4,953.91

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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.