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Finding the Fourth Proportional to 9,144, 13,708.80 and 4,762.08

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Solution

The fourth proportional to 9,144, 13,708.80 and 4,762.08 is: 7,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 13,708.80 = 4,762.08 : x
  2. Step 2: Convert to fraction form
    9,144/13,708.80 = 4,762.08/x
  3. Step 3: Cross multiply
    9,144x = 13,708.80 × 4,762.08
  4. Step 4: Simplify right side
    9,144x = 65,282,402.30
  5. Step 5: Solve for x
    x = 65,282,402.30/9,144
  6. Step 6: Final answer
    x = 7,139.37

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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.