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Finding the Fourth Proportional to 11,646.40, 16,075.44 and 7,922.56

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Solution

The fourth proportional to 11,646.40, 16,075.44 and 7,922.56 is: 10,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.40 : 16,075.44 = 7,922.56 : x
  2. Step 2: Convert to fraction form
    11,646.40/16,075.44 = 7,922.56/x
  3. Step 3: Cross multiply
    11,646.40x = 16,075.44 × 7,922.56
  4. Step 4: Simplify right side
    11,646.40x = 127,358,637.93
  5. Step 5: Solve for x
    x = 127,358,637.93/11,646.40
  6. Step 6: Final answer
    x = 10,935.45

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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.