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Finding the Fourth Proportional to 3,438.16, 5,157.57 and 973.06

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Solution

The fourth proportional to 3,438.16, 5,157.57 and 973.06 is: 1,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.16 : 5,157.57 = 973.06 : x
  2. Step 2: Convert to fraction form
    3,438.16/5,157.57 = 973.06/x
  3. Step 3: Cross multiply
    3,438.16x = 5,157.57 × 973.06
  4. Step 4: Simplify right side
    3,438.16x = 5,018,625.06
  5. Step 5: Solve for x
    x = 5,018,625.06/3,438.16
  6. Step 6: Final answer
    x = 1,459.68

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1.5x scale

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.