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Finding the Fourth Proportional to 5,664.70, 7,820.04 and 3,777.40

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Solution

The fourth proportional to 5,664.70, 7,820.04 and 3,777.40 is: 5,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.70 : 7,820.04 = 3,777.40 : x
  2. Step 2: Convert to fraction form
    5,664.70/7,820.04 = 3,777.40/x
  3. Step 3: Cross multiply
    5,664.70x = 7,820.04 × 3,777.40
  4. Step 4: Simplify right side
    5,664.70x = 29,539,419.10
  5. Step 5: Solve for x
    x = 29,539,419.10/5,664.70
  6. Step 6: Final answer
    x = 5,214.65

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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.