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Finding the Fourth Proportional to 8,969.72, 13,444.86 and 4,343

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Solution

The fourth proportional to 8,969.72, 13,444.86 and 4,343 is: 6,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.72 : 13,444.86 = 4,343 : x
  2. Step 2: Convert to fraction form
    8,969.72/13,444.86 = 4,343/x
  3. Step 3: Cross multiply
    8,969.72x = 13,444.86 × 4,343
  4. Step 4: Simplify right side
    8,969.72x = 58,391,026.98
  5. Step 5: Solve for x
    x = 58,391,026.98/8,969.72
  6. Step 6: Final answer
    x = 6,509.79

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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.