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Finding the Fourth Proportional to 13,258.97, 19,894.76 and 7,712.74

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Solution

The fourth proportional to 13,258.97, 19,894.76 and 7,712.74 is: 11,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.97 : 19,894.76 = 7,712.74 : x
  2. Step 2: Convert to fraction form
    13,258.97/19,894.76 = 7,712.74/x
  3. Step 3: Cross multiply
    13,258.97x = 19,894.76 × 7,712.74
  4. Step 4: Simplify right side
    13,258.97x = 153,443,225.81
  5. Step 5: Solve for x
    x = 153,443,225.81/13,258.97
  6. Step 6: Final answer
    x = 11,572.79

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