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Finding the Fourth Proportional to 8,647.61, 12,971.10 and 2,804.06

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Solution

The fourth proportional to 8,647.61, 12,971.10 and 2,804.06 is: 4,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.61 : 12,971.10 = 2,804.06 : x
  2. Step 2: Convert to fraction form
    8,647.61/12,971.10 = 2,804.06/x
  3. Step 3: Cross multiply
    8,647.61x = 12,971.10 × 2,804.06
  4. Step 4: Simplify right side
    8,647.61x = 36,371,785.61
  5. Step 5: Solve for x
    x = 36,371,785.61/8,647.61
  6. Step 6: Final answer
    x = 4,206.00

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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.