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Finding the Fourth Proportional to 8,391.48, 12,580.74 and 5,307

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Solution

The fourth proportional to 8,391.48, 12,580.74 and 5,307 is: 7,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.48 : 12,580.74 = 5,307 : x
  2. Step 2: Convert to fraction form
    8,391.48/12,580.74 = 5,307/x
  3. Step 3: Cross multiply
    8,391.48x = 12,580.74 × 5,307
  4. Step 4: Simplify right side
    8,391.48x = 66,765,987.18
  5. Step 5: Solve for x
    x = 66,765,987.18/8,391.48
  6. Step 6: Final answer
    x = 7,956.40

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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.