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Finding the Fourth Proportional to 14,688.96, 20,264.88 and 8,400

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Solution

The fourth proportional to 14,688.96, 20,264.88 and 8,400 is: 11,588.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.96 : 20,264.88 = 8,400 : x
  2. Step 2: Convert to fraction form
    14,688.96/20,264.88 = 8,400/x
  3. Step 3: Cross multiply
    14,688.96x = 20,264.88 × 8,400
  4. Step 4: Simplify right side
    14,688.96x = 170,224,992
  5. Step 5: Solve for x
    x = 170,224,992/14,688.96
  6. Step 6: Final answer
    x = 11,588.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.