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Finding the Fourth Proportional to 1,430.51, 2,145.78 and 969.20

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Solution

The fourth proportional to 1,430.51, 2,145.78 and 969.20 is: 1,453.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.51 : 2,145.78 = 969.20 : x
  2. Step 2: Convert to fraction form
    1,430.51/2,145.78 = 969.20/x
  3. Step 3: Cross multiply
    1,430.51x = 2,145.78 × 969.20
  4. Step 4: Simplify right side
    1,430.51x = 2,079,689.98
  5. Step 5: Solve for x
    x = 2,079,689.98/1,430.51
  6. Step 6: Final answer
    x = 1,453.81

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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.