Home / 1,465.17-2,193.30-847.14

Finding the Fourth Proportional to 1,465.17, 2,193.30 and 847.14

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Solution

The fourth proportional to 1,465.17, 2,193.30 and 847.14 is: 1,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.17 : 2,193.30 = 847.14 : x
  2. Step 2: Convert to fraction form
    1,465.17/2,193.30 = 847.14/x
  3. Step 3: Cross multiply
    1,465.17x = 2,193.30 × 847.14
  4. Step 4: Simplify right side
    1,465.17x = 1,858,032.16
  5. Step 5: Solve for x
    x = 1,858,032.16/1,465.17
  6. Step 6: Final answer
    x = 1,268.13

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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.