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Finding the Fourth Proportional to 8,312.40, 11,473.44 and 4,776

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Solution

The fourth proportional to 8,312.40, 11,473.44 and 4,776 is: 6,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.40 : 11,473.44 = 4,776 : x
  2. Step 2: Convert to fraction form
    8,312.40/11,473.44 = 4,776/x
  3. Step 3: Cross multiply
    8,312.40x = 11,473.44 × 4,776
  4. Step 4: Simplify right side
    8,312.40x = 54,797,149.44
  5. Step 5: Solve for x
    x = 54,797,149.44/8,312.40
  6. Step 6: Final answer
    x = 6,592.22

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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.