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Finding the Fourth Proportional to 8,512, 11,746.56 and 7,014.40

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Solution

The fourth proportional to 8,512, 11,746.56 and 7,014.40 is: 9,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 11,746.56 = 7,014.40 : x
  2. Step 2: Convert to fraction form
    8,512/11,746.56 = 7,014.40/x
  3. Step 3: Cross multiply
    8,512x = 11,746.56 × 7,014.40
  4. Step 4: Simplify right side
    8,512x = 82,395,070.46
  5. Step 5: Solve for x
    x = 82,395,070.46/8,512
  6. Step 6: Final answer
    x = 9,679.87

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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.