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Finding the Fourth Proportional to 1,406.58, 1,943.64 and 1,074.48

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Solution

The fourth proportional to 1,406.58, 1,943.64 and 1,074.48 is: 1,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.58 : 1,943.64 = 1,074.48 : x
  2. Step 2: Convert to fraction form
    1,406.58/1,943.64 = 1,074.48/x
  3. Step 3: Cross multiply
    1,406.58x = 1,943.64 × 1,074.48
  4. Step 4: Simplify right side
    1,406.58x = 2,088,402.31
  5. Step 5: Solve for x
    x = 2,088,402.31/1,406.58
  6. Step 6: Final answer
    x = 1,484.74

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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.