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Finding the Fourth Proportional to 14,102.64, 21,162.06 and 5,335.20

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Solution

The fourth proportional to 14,102.64, 21,162.06 and 5,335.20 is: 8,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.64 : 21,162.06 = 5,335.20 : x
  2. Step 2: Convert to fraction form
    14,102.64/21,162.06 = 5,335.20/x
  3. Step 3: Cross multiply
    14,102.64x = 21,162.06 × 5,335.20
  4. Step 4: Simplify right side
    14,102.64x = 112,903,822.51
  5. Step 5: Solve for x
    x = 112,903,822.51/14,102.64
  6. Step 6: Final answer
    x = 8,005.86

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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.