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Finding the Fourth Proportional to 11,710.70, 16,166.34 and 7,237.07

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Solution

The fourth proportional to 11,710.70, 16,166.34 and 7,237.07 is: 9,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.70 : 16,166.34 = 7,237.07 : x
  2. Step 2: Convert to fraction form
    11,710.70/16,166.34 = 7,237.07/x
  3. Step 3: Cross multiply
    11,710.70x = 16,166.34 × 7,237.07
  4. Step 4: Simplify right side
    11,710.70x = 116,996,934.22
  5. Step 5: Solve for x
    x = 116,996,934.22/11,710.70
  6. Step 6: Final answer
    x = 9,990.60

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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.