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Finding the Fourth Proportional to 5,643.36, 7,783.01 and 3,404.76

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Solution

The fourth proportional to 5,643.36, 7,783.01 and 3,404.76 is: 4,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.36 : 7,783.01 = 3,404.76 : x
  2. Step 2: Convert to fraction form
    5,643.36/7,783.01 = 3,404.76/x
  3. Step 3: Cross multiply
    5,643.36x = 7,783.01 × 3,404.76
  4. Step 4: Simplify right side
    5,643.36x = 26,499,281.13
  5. Step 5: Solve for x
    x = 26,499,281.13/5,643.36
  6. Step 6: Final answer
    x = 4,695.66

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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.