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Finding the Fourth Proportional to 12,802.10, 19,206.84 and 9,295.58

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Solution

The fourth proportional to 12,802.10, 19,206.84 and 9,295.58 is: 13,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.10 : 19,206.84 = 9,295.58 : x
  2. Step 2: Convert to fraction form
    12,802.10/19,206.84 = 9,295.58/x
  3. Step 3: Cross multiply
    12,802.10x = 19,206.84 × 9,295.58
  4. Step 4: Simplify right side
    12,802.10x = 178,538,717.77
  5. Step 5: Solve for x
    x = 178,538,717.77/12,802.10
  6. Step 6: Final answer
    x = 13,946.05

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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.