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Finding the Fourth Proportional to 5,643, 7,785.54 and 3,405.60

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Solution

The fourth proportional to 5,643, 7,785.54 and 3,405.60 is: 4,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 7,785.54 = 3,405.60 : x
  2. Step 2: Convert to fraction form
    5,643/7,785.54 = 3,405.60/x
  3. Step 3: Cross multiply
    5,643x = 7,785.54 × 3,405.60
  4. Step 4: Simplify right side
    5,643x = 26,514,435.02
  5. Step 5: Solve for x
    x = 26,514,435.02/5,643
  6. Step 6: Final answer
    x = 4,698.64

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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.