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Finding the Fourth Proportional to 14,688, 20,270.52 and 9,100.08

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Solution

The fourth proportional to 14,688, 20,270.52 and 9,100.08 is: 12,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688 : 20,270.52 = 9,100.08 : x
  2. Step 2: Convert to fraction form
    14,688/20,270.52 = 9,100.08/x
  3. Step 3: Cross multiply
    14,688x = 20,270.52 × 9,100.08
  4. Step 4: Simplify right side
    14,688x = 184,463,353.64
  5. Step 5: Solve for x
    x = 184,463,353.64/14,688
  6. Step 6: Final answer
    x = 12,558.78

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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.