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Finding the Fourth Proportional to 1,782.61, 2,666.92 and 1,574.84

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Solution

The fourth proportional to 1,782.61, 2,666.92 and 1,574.84 is: 2,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.61 : 2,666.92 = 1,574.84 : x
  2. Step 2: Convert to fraction form
    1,782.61/2,666.92 = 1,574.84/x
  3. Step 3: Cross multiply
    1,782.61x = 2,666.92 × 1,574.84
  4. Step 4: Simplify right side
    1,782.61x = 4,199,972.29
  5. Step 5: Solve for x
    x = 4,199,972.29/1,782.61
  6. Step 6: Final answer
    x = 2,356.08

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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.