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Finding the Fourth Proportional to 13,611.29, 18,783.56 and 7,642.94

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Solution

The fourth proportional to 13,611.29, 18,783.56 and 7,642.94 is: 10,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.29 : 18,783.56 = 7,642.94 : x
  2. Step 2: Convert to fraction form
    13,611.29/18,783.56 = 7,642.94/x
  3. Step 3: Cross multiply
    13,611.29x = 18,783.56 × 7,642.94
  4. Step 4: Simplify right side
    13,611.29x = 143,561,547.26
  5. Step 5: Solve for x
    x = 143,561,547.26/13,611.29
  6. Step 6: Final answer
    x = 10,547.24

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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.