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Finding the Fourth Proportional to 13,681.89, 18,880.92 and 8,017.74

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Solution

The fourth proportional to 13,681.89, 18,880.92 and 8,017.74 is: 11,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.89 : 18,880.92 = 8,017.74 : x
  2. Step 2: Convert to fraction form
    13,681.89/18,880.92 = 8,017.74/x
  3. Step 3: Cross multiply
    13,681.89x = 18,880.92 × 8,017.74
  4. Step 4: Simplify right side
    13,681.89x = 151,382,307.52
  5. Step 5: Solve for x
    x = 151,382,307.52/13,681.89
  6. Step 6: Final answer
    x = 11,064.43

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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.