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Finding the Fourth Proportional to 12,970.78, 17,899.68 and 7,305.54

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Solution

The fourth proportional to 12,970.78, 17,899.68 and 7,305.54 is: 10,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.78 : 17,899.68 = 7,305.54 : x
  2. Step 2: Convert to fraction form
    12,970.78/17,899.68 = 7,305.54/x
  3. Step 3: Cross multiply
    12,970.78x = 17,899.68 × 7,305.54
  4. Step 4: Simplify right side
    12,970.78x = 130,766,889.18
  5. Step 5: Solve for x
    x = 130,766,889.18/12,970.78
  6. Step 6: Final answer
    x = 10,081.65

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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.