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Finding the Fourth Proportional to 12,871.60, 17,761.40 and 7,838.48

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Solution

The fourth proportional to 12,871.60, 17,761.40 and 7,838.48 is: 10,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.60 : 17,761.40 = 7,838.48 : x
  2. Step 2: Convert to fraction form
    12,871.60/17,761.40 = 7,838.48/x
  3. Step 3: Cross multiply
    12,871.60x = 17,761.40 × 7,838.48
  4. Step 4: Simplify right side
    12,871.60x = 139,222,378.67
  5. Step 5: Solve for x
    x = 139,222,378.67/12,871.60
  6. Step 6: Final answer
    x = 10,816.24

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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.