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Finding the Fourth Proportional to 7,942, 10,962.40 and 5,852.20

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Solution

The fourth proportional to 7,942, 10,962.40 and 5,852.20 is: 8,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942 : 10,962.40 = 5,852.20 : x
  2. Step 2: Convert to fraction form
    7,942/10,962.40 = 5,852.20/x
  3. Step 3: Cross multiply
    7,942x = 10,962.40 × 5,852.20
  4. Step 4: Simplify right side
    7,942x = 64,154,157.28
  5. Step 5: Solve for x
    x = 64,154,157.28/7,942
  6. Step 6: Final answer
    x = 8,077.83

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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.