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Finding the Fourth Proportional to 3,438.77, 5,157.50 and 973.00

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Solution

The fourth proportional to 3,438.77, 5,157.50 and 973.00 is: 1,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.77 : 5,157.50 = 973.00 : x
  2. Step 2: Convert to fraction form
    3,438.77/5,157.50 = 973.00/x
  3. Step 3: Cross multiply
    3,438.77x = 5,157.50 × 973.00
  4. Step 4: Simplify right side
    3,438.77x = 5,018,237.04
  5. Step 5: Solve for x
    x = 5,018,237.04/3,438.77
  6. Step 6: Final answer
    x = 1,459.31

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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.