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Finding the Fourth Proportional to 3,438.54, 5,157.81 and 973.38

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Solution

The fourth proportional to 3,438.54, 5,157.81 and 973.38 is: 1,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.54 : 5,157.81 = 973.38 : x
  2. Step 2: Convert to fraction form
    3,438.54/5,157.81 = 973.38/x
  3. Step 3: Cross multiply
    3,438.54x = 5,157.81 × 973.38
  4. Step 4: Simplify right side
    3,438.54x = 5,020,509.10
  5. Step 5: Solve for x
    x = 5,020,509.10/3,438.54
  6. Step 6: Final answer
    x = 1,460.07

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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.