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Finding the Fourth Proportional to 2,599.92, 3,587.74 and 1,420.76

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Solution

The fourth proportional to 2,599.92, 3,587.74 and 1,420.76 is: 1,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.92 : 3,587.74 = 1,420.76 : x
  2. Step 2: Convert to fraction form
    2,599.92/3,587.74 = 1,420.76/x
  3. Step 3: Cross multiply
    2,599.92x = 3,587.74 × 1,420.76
  4. Step 4: Simplify right side
    2,599.92x = 5,097,317.48
  5. Step 5: Solve for x
    x = 5,097,317.48/2,599.92
  6. Step 6: Final answer
    x = 1,960.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.