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Finding the Fourth Proportional to 23,070.06, 31,830.10 and 12,994.99

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Solution

The fourth proportional to 23,070.06, 31,830.10 and 12,994.99 is: 17,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070.06 : 31,830.10 = 12,994.99 : x
  2. Step 2: Convert to fraction form
    23,070.06/31,830.10 = 12,994.99/x
  3. Step 3: Cross multiply
    23,070.06x = 31,830.10 × 12,994.99
  4. Step 4: Simplify right side
    23,070.06x = 413,631,719.14
  5. Step 5: Solve for x
    x = 413,631,719.14/23,070.06
  6. Step 6: Final answer
    x = 17,929.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.