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Finding the Fourth Proportional to 1,709.50, 2,359.41 and 1,010.86

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Solution

The fourth proportional to 1,709.50, 2,359.41 and 1,010.86 is: 1,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.50 : 2,359.41 = 1,010.86 : x
  2. Step 2: Convert to fraction form
    1,709.50/2,359.41 = 1,010.86/x
  3. Step 3: Cross multiply
    1,709.50x = 2,359.41 × 1,010.86
  4. Step 4: Simplify right side
    1,709.50x = 2,385,033.19
  5. Step 5: Solve for x
    x = 2,385,033.19/1,709.50
  6. Step 6: Final answer
    x = 1,395.16

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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.