Home / 1,465.10-2,023.19-942.03

Finding the Fourth Proportional to 1,465.10, 2,023.19 and 942.03

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Solution

The fourth proportional to 1,465.10, 2,023.19 and 942.03 is: 1,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.10 : 2,023.19 = 942.03 : x
  2. Step 2: Convert to fraction form
    1,465.10/2,023.19 = 942.03/x
  3. Step 3: Cross multiply
    1,465.10x = 2,023.19 × 942.03
  4. Step 4: Simplify right side
    1,465.10x = 1,905,900.97
  5. Step 5: Solve for x
    x = 1,905,900.97/1,465.10
  6. Step 6: Final answer
    x = 1,300.87

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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.