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Finding the Fourth Proportional to 1,752.83, 2,642.09 and 1,728.23

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Solution

The fourth proportional to 1,752.83, 2,642.09 and 1,728.23 is: 2,605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.83 : 2,642.09 = 1,728.23 : x
  2. Step 2: Convert to fraction form
    1,752.83/2,642.09 = 1,728.23/x
  3. Step 3: Cross multiply
    1,752.83x = 2,642.09 × 1,728.23
  4. Step 4: Simplify right side
    1,752.83x = 4,566,117.35
  5. Step 5: Solve for x
    x = 4,566,117.35/1,752.83
  6. Step 6: Final answer
    x = 2,605.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.