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Finding the Fourth Proportional to 13,071.84, 18,039 and 7,103.40

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Solution

The fourth proportional to 13,071.84, 18,039 and 7,103.40 is: 9,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.84 : 18,039 = 7,103.40 : x
  2. Step 2: Convert to fraction form
    13,071.84/18,039 = 7,103.40/x
  3. Step 3: Cross multiply
    13,071.84x = 18,039 × 7,103.40
  4. Step 4: Simplify right side
    13,071.84x = 128,138,232.60
  5. Step 5: Solve for x
    x = 128,138,232.60/13,071.84
  6. Step 6: Final answer
    x = 9,802.62

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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.