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Finding the Fourth Proportional to 3,436.99, 5,154.91 and 971.82

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Solution

The fourth proportional to 3,436.99, 5,154.91 and 971.82 is: 1,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.99 : 5,154.91 = 971.82 : x
  2. Step 2: Convert to fraction form
    3,436.99/5,154.91 = 971.82/x
  3. Step 3: Cross multiply
    3,436.99x = 5,154.91 × 971.82
  4. Step 4: Simplify right side
    3,436.99x = 5,009,642.21
  5. Step 5: Solve for x
    x = 5,009,642.21/3,436.99
  6. Step 6: Final answer
    x = 1,457.57

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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.