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Finding the Fourth Proportional to 5,642.95, 7,787.28 and 3,090.70

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Solution

The fourth proportional to 5,642.95, 7,787.28 and 3,090.70 is: 4,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.95 : 7,787.28 = 3,090.70 : x
  2. Step 2: Convert to fraction form
    5,642.95/7,787.28 = 3,090.70/x
  3. Step 3: Cross multiply
    5,642.95x = 7,787.28 × 3,090.70
  4. Step 4: Simplify right side
    5,642.95x = 24,068,091.91
  5. Step 5: Solve for x
    x = 24,068,091.91/5,642.95
  6. Step 6: Final answer
    x = 4,265.16

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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.