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Finding the Fourth Proportional to 12,905.34, 17,810.64 and 7,601.82

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Solution

The fourth proportional to 12,905.34, 17,810.64 and 7,601.82 is: 10,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.34 : 17,810.64 = 7,601.82 : x
  2. Step 2: Convert to fraction form
    12,905.34/17,810.64 = 7,601.82/x
  3. Step 3: Cross multiply
    12,905.34x = 17,810.64 × 7,601.82
  4. Step 4: Simplify right side
    12,905.34x = 135,393,279.36
  5. Step 5: Solve for x
    x = 135,393,279.36/12,905.34
  6. Step 6: Final answer
    x = 10,491.26

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1.5x scale

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.