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Finding the Fourth Proportional to 2,605.12, 3,595 and 1,470.68

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Solution

The fourth proportional to 2,605.12, 3,595 and 1,470.68 is: 2,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.12 : 3,595 = 1,470.68 : x
  2. Step 2: Convert to fraction form
    2,605.12/3,595 = 1,470.68/x
  3. Step 3: Cross multiply
    2,605.12x = 3,595 × 1,470.68
  4. Step 4: Simplify right side
    2,605.12x = 5,287,094.60
  5. Step 5: Solve for x
    x = 5,287,094.60/2,605.12
  6. Step 6: Final answer
    x = 2,029.50

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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.