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Finding the Fourth Proportional to 1,437.72, 2,157.72 and 1,005.24

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Solution

The fourth proportional to 1,437.72, 2,157.72 and 1,005.24 is: 1,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.72 : 2,157.72 = 1,005.24 : x
  2. Step 2: Convert to fraction form
    1,437.72/2,157.72 = 1,005.24/x
  3. Step 3: Cross multiply
    1,437.72x = 2,157.72 × 1,005.24
  4. Step 4: Simplify right side
    1,437.72x = 2,169,026.45
  5. Step 5: Solve for x
    x = 2,169,026.45/1,437.72
  6. Step 6: Final answer
    x = 1,508.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.