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Finding the Fourth Proportional to 3,438.76, 5,157.96 and 973.26

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Solution

The fourth proportional to 3,438.76, 5,157.96 and 973.26 is: 1,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.76 : 5,157.96 = 973.26 : x
  2. Step 2: Convert to fraction form
    3,438.76/5,157.96 = 973.26/x
  3. Step 3: Cross multiply
    3,438.76x = 5,157.96 × 973.26
  4. Step 4: Simplify right side
    3,438.76x = 5,020,036.15
  5. Step 5: Solve for x
    x = 5,020,036.15/3,438.76
  6. Step 6: Final answer
    x = 1,459.84

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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.