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Finding the Fourth Proportional to 3,899.37, 5,848.99 and 977.70

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Solution

The fourth proportional to 3,899.37, 5,848.99 and 977.70 is: 1,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.37 : 5,848.99 = 977.70 : x
  2. Step 2: Convert to fraction form
    3,899.37/5,848.99 = 977.70/x
  3. Step 3: Cross multiply
    3,899.37x = 5,848.99 × 977.70
  4. Step 4: Simplify right side
    3,899.37x = 5,718,557.52
  5. Step 5: Solve for x
    x = 5,718,557.52/3,899.37
  6. Step 6: Final answer
    x = 1,466.53

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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.