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Finding the Fourth Proportional to 3,436.68, 5,154.74 and 971.44

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Solution

The fourth proportional to 3,436.68, 5,154.74 and 971.44 is: 1,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.68 : 5,154.74 = 971.44 : x
  2. Step 2: Convert to fraction form
    3,436.68/5,154.74 = 971.44/x
  3. Step 3: Cross multiply
    3,436.68x = 5,154.74 × 971.44
  4. Step 4: Simplify right side
    3,436.68x = 5,007,520.63
  5. Step 5: Solve for x
    x = 5,007,520.63/3,436.68
  6. Step 6: Final answer
    x = 1,457.08

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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.