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Finding the Fourth Proportional to 13,802.76, 19,059.06 and 9,096.20

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Solution

The fourth proportional to 13,802.76, 19,059.06 and 9,096.20 is: 12,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.76 : 19,059.06 = 9,096.20 : x
  2. Step 2: Convert to fraction form
    13,802.76/19,059.06 = 9,096.20/x
  3. Step 3: Cross multiply
    13,802.76x = 19,059.06 × 9,096.20
  4. Step 4: Simplify right side
    13,802.76x = 173,365,021.57
  5. Step 5: Solve for x
    x = 173,365,021.57/13,802.76
  6. Step 6: Final answer
    x = 12,560.17

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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.