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Finding the Fourth Proportional to 1,828.23, 2,740.28 and 788.01

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Solution

The fourth proportional to 1,828.23, 2,740.28 and 788.01 is: 1,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.23 : 2,740.28 = 788.01 : x
  2. Step 2: Convert to fraction form
    1,828.23/2,740.28 = 788.01/x
  3. Step 3: Cross multiply
    1,828.23x = 2,740.28 × 788.01
  4. Step 4: Simplify right side
    1,828.23x = 2,159,364.10
  5. Step 5: Solve for x
    x = 2,159,364.10/1,828.23
  6. Step 6: Final answer
    x = 1,181.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.