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Finding the Fourth Proportional to 9,147.84, 13,721.60 and 4,762.88

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Solution

The fourth proportional to 9,147.84, 13,721.60 and 4,762.88 is: 7,144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.84 : 13,721.60 = 4,762.88 : x
  2. Step 2: Convert to fraction form
    9,147.84/13,721.60 = 4,762.88/x
  3. Step 3: Cross multiply
    9,147.84x = 13,721.60 × 4,762.88
  4. Step 4: Simplify right side
    9,147.84x = 65,354,334.21
  5. Step 5: Solve for x
    x = 65,354,334.21/9,147.84
  6. Step 6: Final answer
    x = 7,144.24

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1.5x scale

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.