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Finding the Fourth Proportional to 5,643.14, 7,784.94 and 3,654.35

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Solution

The fourth proportional to 5,643.14, 7,784.94 and 3,654.35 is: 5,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.14 : 7,784.94 = 3,654.35 : x
  2. Step 2: Convert to fraction form
    5,643.14/7,784.94 = 3,654.35/x
  3. Step 3: Cross multiply
    5,643.14x = 7,784.94 × 3,654.35
  4. Step 4: Simplify right side
    5,643.14x = 28,448,895.49
  5. Step 5: Solve for x
    x = 28,448,895.49/5,643.14
  6. Step 6: Final answer
    x = 5,041.32

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Double scale
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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.