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Finding the Fourth Proportional to 5,643.86, 7,785.84 and 3,756.32

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Solution

The fourth proportional to 5,643.86, 7,785.84 and 3,756.32 is: 5,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.86 : 7,785.84 = 3,756.32 : x
  2. Step 2: Convert to fraction form
    5,643.86/7,785.84 = 3,756.32/x
  3. Step 3: Cross multiply
    5,643.86x = 7,785.84 × 3,756.32
  4. Step 4: Simplify right side
    5,643.86x = 29,246,106.51
  5. Step 5: Solve for x
    x = 29,246,106.51/5,643.86
  6. Step 6: Final answer
    x = 5,181.93

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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.