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Finding the Fourth Proportional to 13,611.35, 18,783.69 and 7,643

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Solution

The fourth proportional to 13,611.35, 18,783.69 and 7,643 is: 10,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.35 : 18,783.69 = 7,643 : x
  2. Step 2: Convert to fraction form
    13,611.35/18,783.69 = 7,643/x
  3. Step 3: Cross multiply
    13,611.35x = 18,783.69 × 7,643
  4. Step 4: Simplify right side
    13,611.35x = 143,563,742.67
  5. Step 5: Solve for x
    x = 143,563,742.67/13,611.35
  6. Step 6: Final answer
    x = 10,547.36

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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.