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Finding the Fourth Proportional to 8,798.72, 12,140.80 and 5,072

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Solution

The fourth proportional to 8,798.72, 12,140.80 and 5,072 is: 6,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,798.72 : 12,140.80 = 5,072 : x
  2. Step 2: Convert to fraction form
    8,798.72/12,140.80 = 5,072/x
  3. Step 3: Cross multiply
    8,798.72x = 12,140.80 × 5,072
  4. Step 4: Simplify right side
    8,798.72x = 61,578,137.60
  5. Step 5: Solve for x
    x = 61,578,137.60/8,798.72
  6. Step 6: Final answer
    x = 6,998.53

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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.