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Finding the Fourth Proportional to 11,681.70, 16,116.08 and 7,197.67

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Solution

The fourth proportional to 11,681.70, 16,116.08 and 7,197.67 is: 9,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.70 : 16,116.08 = 7,197.67 : x
  2. Step 2: Convert to fraction form
    11,681.70/16,116.08 = 7,197.67/x
  3. Step 3: Cross multiply
    11,681.70x = 16,116.08 × 7,197.67
  4. Step 4: Simplify right side
    11,681.70x = 115,998,225.53
  5. Step 5: Solve for x
    x = 115,998,225.53/11,681.70
  6. Step 6: Final answer
    x = 9,929.91

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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.