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Finding the Fourth Proportional to 1,728.95, 2,580.89 and 1,600.47

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Solution

The fourth proportional to 1,728.95, 2,580.89 and 1,600.47 is: 2,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.95 : 2,580.89 = 1,600.47 : x
  2. Step 2: Convert to fraction form
    1,728.95/2,580.89 = 1,600.47/x
  3. Step 3: Cross multiply
    1,728.95x = 2,580.89 × 1,600.47
  4. Step 4: Simplify right side
    1,728.95x = 4,130,629.02
  5. Step 5: Solve for x
    x = 4,130,629.02/1,728.95
  6. Step 6: Final answer
    x = 2,389.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.