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Finding the Fourth Proportional to 7,931.94, 11,897.01 and 2,089.01

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Solution

The fourth proportional to 7,931.94, 11,897.01 and 2,089.01 is: 3,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.94 : 11,897.01 = 2,089.01 : x
  2. Step 2: Convert to fraction form
    7,931.94/11,897.01 = 2,089.01/x
  3. Step 3: Cross multiply
    7,931.94x = 11,897.01 × 2,089.01
  4. Step 4: Simplify right side
    7,931.94x = 24,852,913.38
  5. Step 5: Solve for x
    x = 24,852,913.38/7,931.94
  6. Step 6: Final answer
    x = 3,133.27

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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.