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Finding the Fourth Proportional to 9,699.24, 13,384.98 and 6,339.99

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Solution

The fourth proportional to 9,699.24, 13,384.98 and 6,339.99 is: 8,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.24 : 13,384.98 = 6,339.99 : x
  2. Step 2: Convert to fraction form
    9,699.24/13,384.98 = 6,339.99/x
  3. Step 3: Cross multiply
    9,699.24x = 13,384.98 × 6,339.99
  4. Step 4: Simplify right side
    9,699.24x = 84,860,639.35
  5. Step 5: Solve for x
    x = 84,860,639.35/9,699.24
  6. Step 6: Final answer
    x = 8,749.21

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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.