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Finding the Fourth Proportional to 1,757.55, 2,421.19 and 1,477.79

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Solution

The fourth proportional to 1,757.55, 2,421.19 and 1,477.79 is: 2,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.55 : 2,421.19 = 1,477.79 : x
  2. Step 2: Convert to fraction form
    1,757.55/2,421.19 = 1,477.79/x
  3. Step 3: Cross multiply
    1,757.55x = 2,421.19 × 1,477.79
  4. Step 4: Simplify right side
    1,757.55x = 3,578,022.81
  5. Step 5: Solve for x
    x = 3,578,022.81/1,757.55
  6. Step 6: Final answer
    x = 2,035.80

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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.