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Finding the Fourth Proportional to 1,988.69, 2,743.18 and 1,316.50

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Solution

The fourth proportional to 1,988.69, 2,743.18 and 1,316.50 is: 1,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.69 : 2,743.18 = 1,316.50 : x
  2. Step 2: Convert to fraction form
    1,988.69/2,743.18 = 1,316.50/x
  3. Step 3: Cross multiply
    1,988.69x = 2,743.18 × 1,316.50
  4. Step 4: Simplify right side
    1,988.69x = 3,611,386.32
  5. Step 5: Solve for x
    x = 3,611,386.32/1,988.69
  6. Step 6: Final answer
    x = 1,815.97

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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.