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Finding the Fourth Proportional to 9,699.34, 13,384.06 and 6,511.99

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Solution

The fourth proportional to 9,699.34, 13,384.06 and 6,511.99 is: 8,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.34 : 13,384.06 = 6,511.99 : x
  2. Step 2: Convert to fraction form
    9,699.34/13,384.06 = 6,511.99/x
  3. Step 3: Cross multiply
    9,699.34x = 13,384.06 × 6,511.99
  4. Step 4: Simplify right side
    9,699.34x = 87,156,864.88
  5. Step 5: Solve for x
    x = 87,156,864.88/9,699.34
  6. Step 6: Final answer
    x = 8,985.86

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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.