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Finding the Fourth Proportional to 2,923.95, 4,386.14 and 976.15

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Solution

The fourth proportional to 2,923.95, 4,386.14 and 976.15 is: 1,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.95 : 4,386.14 = 976.15 : x
  2. Step 2: Convert to fraction form
    2,923.95/4,386.14 = 976.15/x
  3. Step 3: Cross multiply
    2,923.95x = 4,386.14 × 976.15
  4. Step 4: Simplify right side
    2,923.95x = 4,281,540.31
  5. Step 5: Solve for x
    x = 4,281,540.31/2,923.95
  6. Step 6: Final answer
    x = 1,464.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.