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Finding the Fourth Proportional to 7,881.88, 11,823.51 and 2,259.58

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Solution

The fourth proportional to 7,881.88, 11,823.51 and 2,259.58 is: 3,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.88 : 11,823.51 = 2,259.58 : x
  2. Step 2: Convert to fraction form
    7,881.88/11,823.51 = 2,259.58/x
  3. Step 3: Cross multiply
    7,881.88x = 11,823.51 × 2,259.58
  4. Step 4: Simplify right side
    7,881.88x = 26,716,126.98
  5. Step 5: Solve for x
    x = 26,716,126.98/7,881.88
  6. Step 6: Final answer
    x = 3,389.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.