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Finding the Fourth Proportional to 4,684.50, 6,465.42 and 2,821.50

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Solution

The fourth proportional to 4,684.50, 6,465.42 and 2,821.50 is: 3,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.50 : 6,465.42 = 2,821.50 : x
  2. Step 2: Convert to fraction form
    4,684.50/6,465.42 = 2,821.50/x
  3. Step 3: Cross multiply
    4,684.50x = 6,465.42 × 2,821.50
  4. Step 4: Simplify right side
    4,684.50x = 18,242,182.53
  5. Step 5: Solve for x
    x = 18,242,182.53/4,684.50
  6. Step 6: Final answer
    x = 3,894.16

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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.