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Finding the Fourth Proportional to 13,106.08, 18,085 and 7,655.28

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Solution

The fourth proportional to 13,106.08, 18,085 and 7,655.28 is: 10,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.08 : 18,085 = 7,655.28 : x
  2. Step 2: Convert to fraction form
    13,106.08/18,085 = 7,655.28/x
  3. Step 3: Cross multiply
    13,106.08x = 18,085 × 7,655.28
  4. Step 4: Simplify right side
    13,106.08x = 138,445,738.80
  5. Step 5: Solve for x
    x = 138,445,738.80/13,106.08
  6. Step 6: Final answer
    x = 10,563.47

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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.