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Finding the Fourth Proportional to 5,643.60, 8,465.40 and 4,914.60

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Solution

The fourth proportional to 5,643.60, 8,465.40 and 4,914.60 is: 7,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.60 : 8,465.40 = 4,914.60 : x
  2. Step 2: Convert to fraction form
    5,643.60/8,465.40 = 4,914.60/x
  3. Step 3: Cross multiply
    5,643.60x = 8,465.40 × 4,914.60
  4. Step 4: Simplify right side
    5,643.60x = 41,604,054.84
  5. Step 5: Solve for x
    x = 41,604,054.84/5,643.60
  6. Step 6: Final answer
    x = 7,371.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.