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Finding the Fourth Proportional to 12,750.14, 17,594.64 and 7,085.30

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Solution

The fourth proportional to 12,750.14, 17,594.64 and 7,085.30 is: 9,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.14 : 17,594.64 = 7,085.30 : x
  2. Step 2: Convert to fraction form
    12,750.14/17,594.64 = 7,085.30/x
  3. Step 3: Cross multiply
    12,750.14x = 17,594.64 × 7,085.30
  4. Step 4: Simplify right side
    12,750.14x = 124,663,214.82
  5. Step 5: Solve for x
    x = 124,663,214.82/12,750.14
  6. Step 6: Final answer
    x = 9,777.40

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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.