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Finding the Fourth Proportional to 2,784.99, 4,178.31 and 1,053.75

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Solution

The fourth proportional to 2,784.99, 4,178.31 and 1,053.75 is: 1,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.99 : 4,178.31 = 1,053.75 : x
  2. Step 2: Convert to fraction form
    2,784.99/4,178.31 = 1,053.75/x
  3. Step 3: Cross multiply
    2,784.99x = 4,178.31 × 1,053.75
  4. Step 4: Simplify right side
    2,784.99x = 4,402,894.16
  5. Step 5: Solve for x
    x = 4,402,894.16/2,784.99
  6. Step 6: Final answer
    x = 1,580.94

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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.