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Finding the Fourth Proportional to 1,172, 1,618.32 and 1,026.32

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Solution

The fourth proportional to 1,172, 1,618.32 and 1,026.32 is: 1,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172 : 1,618.32 = 1,026.32 : x
  2. Step 2: Convert to fraction form
    1,172/1,618.32 = 1,026.32/x
  3. Step 3: Cross multiply
    1,172x = 1,618.32 × 1,026.32
  4. Step 4: Simplify right side
    1,172x = 1,660,914.18
  5. Step 5: Solve for x
    x = 1,660,914.18/1,172
  6. Step 6: Final answer
    x = 1,417.16

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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.