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Finding the Fourth Proportional to 13,802.58, 19,051.86 and 7,838.22

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Solution

The fourth proportional to 13,802.58, 19,051.86 and 7,838.22 is: 10,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.58 : 19,051.86 = 7,838.22 : x
  2. Step 2: Convert to fraction form
    13,802.58/19,051.86 = 7,838.22/x
  3. Step 3: Cross multiply
    13,802.58x = 19,051.86 × 7,838.22
  4. Step 4: Simplify right side
    13,802.58x = 149,332,670.09
  5. Step 5: Solve for x
    x = 149,332,670.09/13,802.58
  6. Step 6: Final answer
    x = 10,819.19

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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.