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Finding the Fourth Proportional to 2,605.71, 3,595.70 and 1,426.77

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Solution

The fourth proportional to 2,605.71, 3,595.70 and 1,426.77 is: 1,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.71 : 3,595.70 = 1,426.77 : x
  2. Step 2: Convert to fraction form
    2,605.71/3,595.70 = 1,426.77/x
  3. Step 3: Cross multiply
    2,605.71x = 3,595.70 × 1,426.77
  4. Step 4: Simplify right side
    2,605.71x = 5,130,229.76
  5. Step 5: Solve for x
    x = 5,130,229.76/2,605.71
  6. Step 6: Final answer
    x = 1,968.84

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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.