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Finding the Fourth Proportional to 11,640, 16,060.40 and 6,860.14

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Solution

The fourth proportional to 11,640, 16,060.40 and 6,860.14 is: 9,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 16,060.40 = 6,860.14 : x
  2. Step 2: Convert to fraction form
    11,640/16,060.40 = 6,860.14/x
  3. Step 3: Cross multiply
    11,640x = 16,060.40 × 6,860.14
  4. Step 4: Simplify right side
    11,640x = 110,176,592.46
  5. Step 5: Solve for x
    x = 110,176,592.46/11,640
  6. Step 6: Final answer
    x = 9,465.34

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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.