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Finding the Fourth Proportional to 3,899.09, 5,848.25 and 977.40

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Solution

The fourth proportional to 3,899.09, 5,848.25 and 977.40 is: 1,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.09 : 5,848.25 = 977.40 : x
  2. Step 2: Convert to fraction form
    3,899.09/5,848.25 = 977.40/x
  3. Step 3: Cross multiply
    3,899.09x = 5,848.25 × 977.40
  4. Step 4: Simplify right side
    3,899.09x = 5,716,074.66
  5. Step 5: Solve for x
    x = 5,716,074.66/3,899.09
  6. Step 6: Final answer
    x = 1,466.00

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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.