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Finding the Fourth Proportional to 5,787.42, 7,999.76 and 5,328.14

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Solution

The fourth proportional to 5,787.42, 7,999.76 and 5,328.14 is: 7,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.42 : 7,999.76 = 5,328.14 : x
  2. Step 2: Convert to fraction form
    5,787.42/7,999.76 = 5,328.14/x
  3. Step 3: Cross multiply
    5,787.42x = 7,999.76 × 5,328.14
  4. Step 4: Simplify right side
    5,787.42x = 42,623,841.25
  5. Step 5: Solve for x
    x = 42,623,841.25/5,787.42
  6. Step 6: Final answer
    x = 7,364.91

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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.