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Finding the Fourth Proportional to 4,986, 7,460.18 and 2,977.26

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Solution

The fourth proportional to 4,986, 7,460.18 and 2,977.26 is: 4,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986 : 7,460.18 = 2,977.26 : x
  2. Step 2: Convert to fraction form
    4,986/7,460.18 = 2,977.26/x
  3. Step 3: Cross multiply
    4,986x = 7,460.18 × 2,977.26
  4. Step 4: Simplify right side
    4,986x = 22,210,895.51
  5. Step 5: Solve for x
    x = 22,210,895.51/4,986
  6. Step 6: Final answer
    x = 4,454.65

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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.