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Finding the Fourth Proportional to 24,017.40, 35,980.20 and 12,920.40

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Solution

The fourth proportional to 24,017.40, 35,980.20 and 12,920.40 is: 19,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.40 : 35,980.20 = 12,920.40 : x
  2. Step 2: Convert to fraction form
    24,017.40/35,980.20 = 12,920.40/x
  3. Step 3: Cross multiply
    24,017.40x = 35,980.20 × 12,920.40
  4. Step 4: Simplify right side
    24,017.40x = 464,878,576.08
  5. Step 5: Solve for x
    x = 464,878,576.08/24,017.40
  6. Step 6: Final answer
    x = 19,355.91

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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.