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Finding the Fourth Proportional to 8,649.64, 12,962.28 and 4,946.32

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Solution

The fourth proportional to 8,649.64, 12,962.28 and 4,946.32 is: 7,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.64 : 12,962.28 = 4,946.32 : x
  2. Step 2: Convert to fraction form
    8,649.64/12,962.28 = 4,946.32/x
  3. Step 3: Cross multiply
    8,649.64x = 12,962.28 × 4,946.32
  4. Step 4: Simplify right side
    8,649.64x = 64,115,584.81
  5. Step 5: Solve for x
    x = 64,115,584.81/8,649.64
  6. Step 6: Final answer
    x = 7,412.51

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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.