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Finding the Fourth Proportional to 7,512.98, 10,355.49 and 5,646.74

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Solution

The fourth proportional to 7,512.98, 10,355.49 and 5,646.74 is: 7,783.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.98 : 10,355.49 = 5,646.74 : x
  2. Step 2: Convert to fraction form
    7,512.98/10,355.49 = 5,646.74/x
  3. Step 3: Cross multiply
    7,512.98x = 10,355.49 × 5,646.74
  4. Step 4: Simplify right side
    7,512.98x = 58,474,759.60
  5. Step 5: Solve for x
    x = 58,474,759.60/7,512.98
  6. Step 6: Final answer
    x = 7,783.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.