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Finding the Fourth Proportional to 14,688, 20,269.44 and 8,064

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Solution

The fourth proportional to 14,688, 20,269.44 and 8,064 is: 11,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688 : 20,269.44 = 8,064 : x
  2. Step 2: Convert to fraction form
    14,688/20,269.44 = 8,064/x
  3. Step 3: Cross multiply
    14,688x = 20,269.44 × 8,064
  4. Step 4: Simplify right side
    14,688x = 163,452,764.16
  5. Step 5: Solve for x
    x = 163,452,764.16/14,688
  6. Step 6: Final answer
    x = 11,128.32

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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.