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Finding the Fourth Proportional to 8,656.96, 12,973.12 and 6,700

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Solution

The fourth proportional to 8,656.96, 12,973.12 and 6,700 is: 10,040.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.96 : 12,973.12 = 6,700 : x
  2. Step 2: Convert to fraction form
    8,656.96/12,973.12 = 6,700/x
  3. Step 3: Cross multiply
    8,656.96x = 12,973.12 × 6,700
  4. Step 4: Simplify right side
    8,656.96x = 86,919,904
  5. Step 5: Solve for x
    x = 86,919,904/8,656.96
  6. Step 6: Final answer
    x = 10,040.47

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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.