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Finding the Fourth Proportional to 13,672.64, 20,509.76 and 4,908.48

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Solution

The fourth proportional to 13,672.64, 20,509.76 and 4,908.48 is: 7,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.64 : 20,509.76 = 4,908.48 : x
  2. Step 2: Convert to fraction form
    13,672.64/20,509.76 = 4,908.48/x
  3. Step 3: Cross multiply
    13,672.64x = 20,509.76 × 4,908.48
  4. Step 4: Simplify right side
    13,672.64x = 100,671,746.76
  5. Step 5: Solve for x
    x = 100,671,746.76/13,672.64
  6. Step 6: Final answer
    x = 7,363.01

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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.