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Finding the Fourth Proportional to 5,643, 7,784.90 and 3,403.64

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Solution

The fourth proportional to 5,643, 7,784.90 and 3,403.64 is: 4,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 7,784.90 = 3,403.64 : x
  2. Step 2: Convert to fraction form
    5,643/7,784.90 = 3,403.64/x
  3. Step 3: Cross multiply
    5,643x = 7,784.90 × 3,403.64
  4. Step 4: Simplify right side
    5,643x = 26,496,941.09
  5. Step 5: Solve for x
    x = 26,496,941.09/5,643
  6. Step 6: Final answer
    x = 4,695.54

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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.