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Finding the Fourth Proportional to 8,710.56, 13,045.68 and 6,848.64

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Solution

The fourth proportional to 8,710.56, 13,045.68 and 6,848.64 is: 10,257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.56 : 13,045.68 = 6,848.64 : x
  2. Step 2: Convert to fraction form
    8,710.56/13,045.68 = 6,848.64/x
  3. Step 3: Cross multiply
    8,710.56x = 13,045.68 × 6,848.64
  4. Step 4: Simplify right side
    8,710.56x = 89,345,165.88
  5. Step 5: Solve for x
    x = 89,345,165.88/8,710.56
  6. Step 6: Final answer
    x = 10,257.11

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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.