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Finding the Fourth Proportional to 12,762.46, 17,612.40 and 7,097.56

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Solution

The fourth proportional to 12,762.46, 17,612.40 and 7,097.56 is: 9,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.46 : 17,612.40 = 7,097.56 : x
  2. Step 2: Convert to fraction form
    12,762.46/17,612.40 = 7,097.56/x
  3. Step 3: Cross multiply
    12,762.46x = 17,612.40 × 7,097.56
  4. Step 4: Simplify right side
    12,762.46x = 125,005,065.74
  5. Step 5: Solve for x
    x = 125,005,065.74/12,762.46
  6. Step 6: Final answer
    x = 9,794.75

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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.