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Finding the Fourth Proportional to 1,782.18, 2,678.58 and 1,476

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Solution

The fourth proportional to 1,782.18, 2,678.58 and 1,476 is: 2,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.18 : 2,678.58 = 1,476 : x
  2. Step 2: Convert to fraction form
    1,782.18/2,678.58 = 1,476/x
  3. Step 3: Cross multiply
    1,782.18x = 2,678.58 × 1,476
  4. Step 4: Simplify right side
    1,782.18x = 3,953,584.08
  5. Step 5: Solve for x
    x = 3,953,584.08/1,782.18
  6. Step 6: Final answer
    x = 2,218.40

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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.