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Finding the Fourth Proportional to 7,970.28, 11,953.83 and 7,575.15

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Solution

The fourth proportional to 7,970.28, 11,953.83 and 7,575.15 is: 11,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.28 : 11,953.83 = 7,575.15 : x
  2. Step 2: Convert to fraction form
    7,970.28/11,953.83 = 7,575.15/x
  3. Step 3: Cross multiply
    7,970.28x = 11,953.83 × 7,575.15
  4. Step 4: Simplify right side
    7,970.28x = 90,552,055.32
  5. Step 5: Solve for x
    x = 90,552,055.32/7,970.28
  6. Step 6: Final answer
    x = 11,361.21

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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.