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Finding the Fourth Proportional to 8,681.74, 13,018.76 and 4,731.82

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Solution

The fourth proportional to 8,681.74, 13,018.76 and 4,731.82 is: 7,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.74 : 13,018.76 = 4,731.82 : x
  2. Step 2: Convert to fraction form
    8,681.74/13,018.76 = 4,731.82/x
  3. Step 3: Cross multiply
    8,681.74x = 13,018.76 × 4,731.82
  4. Step 4: Simplify right side
    8,681.74x = 61,602,410.44
  5. Step 5: Solve for x
    x = 61,602,410.44/8,681.74
  6. Step 6: Final answer
    x = 7,095.63

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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.