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Finding the Fourth Proportional to 1,406.44, 2,106.42 and 973.90

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Solution

The fourth proportional to 1,406.44, 2,106.42 and 973.90 is: 1,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.44 : 2,106.42 = 973.90 : x
  2. Step 2: Convert to fraction form
    1,406.44/2,106.42 = 973.90/x
  3. Step 3: Cross multiply
    1,406.44x = 2,106.42 × 973.90
  4. Step 4: Simplify right side
    1,406.44x = 2,051,442.44
  5. Step 5: Solve for x
    x = 2,051,442.44/1,406.44
  6. Step 6: Final answer
    x = 1,458.61

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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.