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Finding the Fourth Proportional to 12,970.56, 17,898.36 and 7,305

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Solution

The fourth proportional to 12,970.56, 17,898.36 and 7,305 is: 10,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.56 : 17,898.36 = 7,305 : x
  2. Step 2: Convert to fraction form
    12,970.56/17,898.36 = 7,305/x
  3. Step 3: Cross multiply
    12,970.56x = 17,898.36 × 7,305
  4. Step 4: Simplify right side
    12,970.56x = 130,747,519.80
  5. Step 5: Solve for x
    x = 130,747,519.80/12,970.56
  6. Step 6: Final answer
    x = 10,080.33

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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.