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Finding the Fourth Proportional to 8,698, 12,003.60 and 4,972

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Solution

The fourth proportional to 8,698, 12,003.60 and 4,972 is: 6,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698 : 12,003.60 = 4,972 : x
  2. Step 2: Convert to fraction form
    8,698/12,003.60 = 4,972/x
  3. Step 3: Cross multiply
    8,698x = 12,003.60 × 4,972
  4. Step 4: Simplify right side
    8,698x = 59,681,899.20
  5. Step 5: Solve for x
    x = 59,681,899.20/8,698
  6. Step 6: Final answer
    x = 6,861.57

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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.