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Finding the Fourth Proportional to 8,731, 12,048.76 and 4,752.10

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Solution

The fourth proportional to 8,731, 12,048.76 and 4,752.10 is: 6,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731 : 12,048.76 = 4,752.10 : x
  2. Step 2: Convert to fraction form
    8,731/12,048.76 = 4,752.10/x
  3. Step 3: Cross multiply
    8,731x = 12,048.76 × 4,752.10
  4. Step 4: Simplify right side
    8,731x = 57,256,912.40
  5. Step 5: Solve for x
    x = 57,256,912.40/8,731
  6. Step 6: Final answer
    x = 6,557.89

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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.