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Finding the Fourth Proportional to 15,975, 23,966.40 and 5,031

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Solution

The fourth proportional to 15,975, 23,966.40 and 5,031 is: 7,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975 : 23,966.40 = 5,031 : x
  2. Step 2: Convert to fraction form
    15,975/23,966.40 = 5,031/x
  3. Step 3: Cross multiply
    15,975x = 23,966.40 × 5,031
  4. Step 4: Simplify right side
    15,975x = 120,574,958.40
  5. Step 5: Solve for x
    x = 120,574,958.40/15,975
  6. Step 6: Final answer
    x = 7,547.73

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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.