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Finding the Fourth Proportional to 1,465.94, 2,210 and 1,386.56

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Solution

The fourth proportional to 1,465.94, 2,210 and 1,386.56 is: 2,090.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.94 : 2,210 = 1,386.56 : x
  2. Step 2: Convert to fraction form
    1,465.94/2,210 = 1,386.56/x
  3. Step 3: Cross multiply
    1,465.94x = 2,210 × 1,386.56
  4. Step 4: Simplify right side
    1,465.94x = 3,064,297.60
  5. Step 5: Solve for x
    x = 3,064,297.60/1,465.94
  6. Step 6: Final answer
    x = 2,090.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.