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Finding the Fourth Proportional to 1,988.77, 2,970.15 and 1,693.12

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Solution

The fourth proportional to 1,988.77, 2,970.15 and 1,693.12 is: 2,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.77 : 2,970.15 = 1,693.12 : x
  2. Step 2: Convert to fraction form
    1,988.77/2,970.15 = 1,693.12/x
  3. Step 3: Cross multiply
    1,988.77x = 2,970.15 × 1,693.12
  4. Step 4: Simplify right side
    1,988.77x = 5,028,821.69
  5. Step 5: Solve for x
    x = 5,028,821.69/1,988.77
  6. Step 6: Final answer
    x = 2,528.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.