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Finding the Fourth Proportional to 12,840.34, 17,721.06 and 7,535.92

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Solution

The fourth proportional to 12,840.34, 17,721.06 and 7,535.92 is: 10,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.34 : 17,721.06 = 7,535.92 : x
  2. Step 2: Convert to fraction form
    12,840.34/17,721.06 = 7,535.92/x
  3. Step 3: Cross multiply
    12,840.34x = 17,721.06 × 7,535.92
  4. Step 4: Simplify right side
    12,840.34x = 133,544,490.48
  5. Step 5: Solve for x
    x = 133,544,490.48/12,840.34
  6. Step 6: Final answer
    x = 10,400.39

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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.