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Finding the Fourth Proportional to 4,977.76, 7,460.16 and 3,102.88

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Solution

The fourth proportional to 4,977.76, 7,460.16 and 3,102.88 is: 4,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.76 : 7,460.16 = 3,102.88 : x
  2. Step 2: Convert to fraction form
    4,977.76/7,460.16 = 3,102.88/x
  3. Step 3: Cross multiply
    4,977.76x = 7,460.16 × 3,102.88
  4. Step 4: Simplify right side
    4,977.76x = 23,147,981.26
  5. Step 5: Solve for x
    x = 23,147,981.26/4,977.76
  6. Step 6: Final answer
    x = 4,650.28

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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.