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Finding the Fourth Proportional to 2,605.62, 3,595.80 and 1,426.75

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Solution

The fourth proportional to 2,605.62, 3,595.80 and 1,426.75 is: 1,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.62 : 3,595.80 = 1,426.75 : x
  2. Step 2: Convert to fraction form
    2,605.62/3,595.80 = 1,426.75/x
  3. Step 3: Cross multiply
    2,605.62x = 3,595.80 × 1,426.75
  4. Step 4: Simplify right side
    2,605.62x = 5,130,307.65
  5. Step 5: Solve for x
    x = 5,130,307.65/2,605.62
  6. Step 6: Final answer
    x = 1,968.94

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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.