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Finding the Fourth Proportional to 13,970.64, 20,928 and 8,407.17

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Solution

The fourth proportional to 13,970.64, 20,928 and 8,407.17 is: 12,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.64 : 20,928 = 8,407.17 : x
  2. Step 2: Convert to fraction form
    13,970.64/20,928 = 8,407.17/x
  3. Step 3: Cross multiply
    13,970.64x = 20,928 × 8,407.17
  4. Step 4: Simplify right side
    13,970.64x = 175,945,253.76
  5. Step 5: Solve for x
    x = 175,945,253.76/13,970.64
  6. Step 6: Final answer
    x = 12,593.93

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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.