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Finding the Fourth Proportional to 1,927.00, 2,888.42 and 988.66

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Solution

The fourth proportional to 1,927.00, 2,888.42 and 988.66 is: 1,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.00 : 2,888.42 = 988.66 : x
  2. Step 2: Convert to fraction form
    1,927.00/2,888.42 = 988.66/x
  3. Step 3: Cross multiply
    1,927.00x = 2,888.42 × 988.66
  4. Step 4: Simplify right side
    1,927.00x = 2,855,666.71
  5. Step 5: Solve for x
    x = 2,855,666.71/1,927.00
  6. Step 6: Final answer
    x = 1,481.92

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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.