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Finding the Fourth Proportional to 8,460.90, 11,687.16 and 6,495.72

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Solution

The fourth proportional to 8,460.90, 11,687.16 and 6,495.72 is: 8,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.90 : 11,687.16 = 6,495.72 : x
  2. Step 2: Convert to fraction form
    8,460.90/11,687.16 = 6,495.72/x
  3. Step 3: Cross multiply
    8,460.90x = 11,687.16 × 6,495.72
  4. Step 4: Simplify right side
    8,460.90x = 75,916,518.96
  5. Step 5: Solve for x
    x = 75,916,518.96/8,460.90
  6. Step 6: Final answer
    x = 8,972.63

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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.