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Finding the Fourth Proportional to 12,802.96, 19,207.06 and 7,258.78

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Solution

The fourth proportional to 12,802.96, 19,207.06 and 7,258.78 is: 10,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.96 : 19,207.06 = 7,258.78 : x
  2. Step 2: Convert to fraction form
    12,802.96/19,207.06 = 7,258.78/x
  3. Step 3: Cross multiply
    12,802.96x = 19,207.06 × 7,258.78
  4. Step 4: Simplify right side
    12,802.96x = 139,419,822.99
  5. Step 5: Solve for x
    x = 139,419,822.99/12,802.96
  6. Step 6: Final answer
    x = 10,889.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.