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Finding the Fourth Proportional to 12,871.68, 17,762.16 and 8,403.84

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Solution

The fourth proportional to 12,871.68, 17,762.16 and 8,403.84 is: 11,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.68 : 17,762.16 = 8,403.84 : x
  2. Step 2: Convert to fraction form
    12,871.68/17,762.16 = 8,403.84/x
  3. Step 3: Cross multiply
    12,871.68x = 17,762.16 × 8,403.84
  4. Step 4: Simplify right side
    12,871.68x = 149,270,350.69
  5. Step 5: Solve for x
    x = 149,270,350.69/12,871.68
  6. Step 6: Final answer
    x = 11,596.80

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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.