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Finding the Fourth Proportional to 2,605.66, 3,595.81 and 1,410.65

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Solution

The fourth proportional to 2,605.66, 3,595.81 and 1,410.65 is: 1,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.66 : 3,595.81 = 1,410.65 : x
  2. Step 2: Convert to fraction form
    2,605.66/3,595.81 = 1,410.65/x
  3. Step 3: Cross multiply
    2,605.66x = 3,595.81 × 1,410.65
  4. Step 4: Simplify right side
    2,605.66x = 5,072,432.40
  5. Step 5: Solve for x
    x = 5,072,432.40/2,605.66
  6. Step 6: Final answer
    x = 1,946.70

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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.