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Finding the Fourth Proportional to 8,333.98, 11,509.50 and 7,209.52

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Solution

The fourth proportional to 8,333.98, 11,509.50 and 7,209.52 is: 9,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.98 : 11,509.50 = 7,209.52 : x
  2. Step 2: Convert to fraction form
    8,333.98/11,509.50 = 7,209.52/x
  3. Step 3: Cross multiply
    8,333.98x = 11,509.50 × 7,209.52
  4. Step 4: Simplify right side
    8,333.98x = 82,977,970.44
  5. Step 5: Solve for x
    x = 82,977,970.44/8,333.98
  6. Step 6: Final answer
    x = 9,956.58

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1.5x scale

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.