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Finding the Fourth Proportional to 5,136.32, 7,700.16 and 4,160

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Solution

The fourth proportional to 5,136.32, 7,700.16 and 4,160 is: 6,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.32 : 7,700.16 = 4,160 : x
  2. Step 2: Convert to fraction form
    5,136.32/7,700.16 = 4,160/x
  3. Step 3: Cross multiply
    5,136.32x = 7,700.16 × 4,160
  4. Step 4: Simplify right side
    5,136.32x = 32,032,665.60
  5. Step 5: Solve for x
    x = 32,032,665.60/5,136.32
  6. Step 6: Final answer
    x = 6,236.50

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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.