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Finding the Fourth Proportional to 13,510.76, 20,259.12 and 6,111.68

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Solution

The fourth proportional to 13,510.76, 20,259.12 and 6,111.68 is: 9,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.76 : 20,259.12 = 6,111.68 : x
  2. Step 2: Convert to fraction form
    13,510.76/20,259.12 = 6,111.68/x
  3. Step 3: Cross multiply
    13,510.76x = 20,259.12 × 6,111.68
  4. Step 4: Simplify right side
    13,510.76x = 123,817,258.52
  5. Step 5: Solve for x
    x = 123,817,258.52/13,510.76
  6. Step 6: Final answer
    x = 9,164.34

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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.