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Finding the Fourth Proportional to 11,710.71, 16,160.40 and 6,405.57

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Solution

The fourth proportional to 11,710.71, 16,160.40 and 6,405.57 is: 8,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.71 : 16,160.40 = 6,405.57 : x
  2. Step 2: Convert to fraction form
    11,710.71/16,160.40 = 6,405.57/x
  3. Step 3: Cross multiply
    11,710.71x = 16,160.40 × 6,405.57
  4. Step 4: Simplify right side
    11,710.71x = 103,516,573.43
  5. Step 5: Solve for x
    x = 103,516,573.43/11,710.71
  6. Step 6: Final answer
    x = 8,839.48

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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.