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Finding the Fourth Proportional to 1,783.81, 2,458.51 and 1,504.77

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Solution

The fourth proportional to 1,783.81, 2,458.51 and 1,504.77 is: 2,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.81 : 2,458.51 = 1,504.77 : x
  2. Step 2: Convert to fraction form
    1,783.81/2,458.51 = 1,504.77/x
  3. Step 3: Cross multiply
    1,783.81x = 2,458.51 × 1,504.77
  4. Step 4: Simplify right side
    1,783.81x = 3,699,492.09
  5. Step 5: Solve for x
    x = 3,699,492.09/1,783.81
  6. Step 6: Final answer
    x = 2,073.93

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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.