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Finding the Fourth Proportional to 5,703.78, 7,860.93 and 4,129.14

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Solution

The fourth proportional to 5,703.78, 7,860.93 and 4,129.14 is: 5,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.78 : 7,860.93 = 4,129.14 : x
  2. Step 2: Convert to fraction form
    5,703.78/7,860.93 = 4,129.14/x
  3. Step 3: Cross multiply
    5,703.78x = 7,860.93 × 4,129.14
  4. Step 4: Simplify right side
    5,703.78x = 32,458,880.50
  5. Step 5: Solve for x
    x = 32,458,880.50/5,703.78
  6. Step 6: Final answer
    x = 5,690.77

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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.