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Finding the Fourth Proportional to 2,977.61, 4,466.76 and 786.35

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Solution

The fourth proportional to 2,977.61, 4,466.76 and 786.35 is: 1,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.61 : 4,466.76 = 786.35 : x
  2. Step 2: Convert to fraction form
    2,977.61/4,466.76 = 786.35/x
  3. Step 3: Cross multiply
    2,977.61x = 4,466.76 × 786.35
  4. Step 4: Simplify right side
    2,977.61x = 3,512,447.89
  5. Step 5: Solve for x
    x = 3,512,447.89/2,977.61
  6. Step 6: Final answer
    x = 1,179.62

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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.