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Finding the Fourth Proportional to 5,300.64, 7,942.32 and 2,700

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Solution

The fourth proportional to 5,300.64, 7,942.32 and 2,700 is: 4,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.64 : 7,942.32 = 2,700 : x
  2. Step 2: Convert to fraction form
    5,300.64/7,942.32 = 2,700/x
  3. Step 3: Cross multiply
    5,300.64x = 7,942.32 × 2,700
  4. Step 4: Simplify right side
    5,300.64x = 21,444,264
  5. Step 5: Solve for x
    x = 21,444,264/5,300.64
  6. Step 6: Final answer
    x = 4,045.60

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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.