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Finding the Fourth Proportional to 8,484.72, 12,712.02 and 3,543.49

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Solution

The fourth proportional to 8,484.72, 12,712.02 and 3,543.49 is: 5,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.72 : 12,712.02 = 3,543.49 : x
  2. Step 2: Convert to fraction form
    8,484.72/12,712.02 = 3,543.49/x
  3. Step 3: Cross multiply
    8,484.72x = 12,712.02 × 3,543.49
  4. Step 4: Simplify right side
    8,484.72x = 45,044,852.19
  5. Step 5: Solve for x
    x = 45,044,852.19/8,484.72
  6. Step 6: Final answer
    x = 5,308.94

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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.