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Finding the Fourth Proportional to 5,287.88, 7,931.14 and 1,392.60

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Solution

The fourth proportional to 5,287.88, 7,931.14 and 1,392.60 is: 2,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.88 : 7,931.14 = 1,392.60 : x
  2. Step 2: Convert to fraction form
    5,287.88/7,931.14 = 1,392.60/x
  3. Step 3: Cross multiply
    5,287.88x = 7,931.14 × 1,392.60
  4. Step 4: Simplify right side
    5,287.88x = 11,044,905.56
  5. Step 5: Solve for x
    x = 11,044,905.56/5,287.88
  6. Step 6: Final answer
    x = 2,088.72

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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.