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Finding the Fourth Proportional to 4,294.78, 6,445.05 and 1,986.46

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Solution

The fourth proportional to 4,294.78, 6,445.05 and 1,986.46 is: 2,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.78 : 6,445.05 = 1,986.46 : x
  2. Step 2: Convert to fraction form
    4,294.78/6,445.05 = 1,986.46/x
  3. Step 3: Cross multiply
    4,294.78x = 6,445.05 × 1,986.46
  4. Step 4: Simplify right side
    4,294.78x = 12,802,834.02
  5. Step 5: Solve for x
    x = 12,802,834.02/4,294.78
  6. Step 6: Final answer
    x = 2,981.02

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1.5x scale

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.