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Finding the Fourth Proportional to 7,977.44, 11,970.48 and 7,686.56

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Solution

The fourth proportional to 7,977.44, 11,970.48 and 7,686.56 is: 11,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.44 : 11,970.48 = 7,686.56 : x
  2. Step 2: Convert to fraction form
    7,977.44/11,970.48 = 7,686.56/x
  3. Step 3: Cross multiply
    7,977.44x = 11,970.48 × 7,686.56
  4. Step 4: Simplify right side
    7,977.44x = 92,011,812.75
  5. Step 5: Solve for x
    x = 92,011,812.75/7,977.44
  6. Step 6: Final answer
    x = 11,534.00

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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.