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Finding the Fourth Proportional to 7,846.50, 11,812.59 and 7,157.58

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Solution

The fourth proportional to 7,846.50, 11,812.59 and 7,157.58 is: 10,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.50 : 11,812.59 = 7,157.58 : x
  2. Step 2: Convert to fraction form
    7,846.50/11,812.59 = 7,157.58/x
  3. Step 3: Cross multiply
    7,846.50x = 11,812.59 × 7,157.58
  4. Step 4: Simplify right side
    7,846.50x = 84,549,557.93
  5. Step 5: Solve for x
    x = 84,549,557.93/7,846.50
  6. Step 6: Final answer
    x = 10,775.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.