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Finding the Fourth Proportional to 1,516.04, 2,091.60 and 992.40

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Solution

The fourth proportional to 1,516.04, 2,091.60 and 992.40 is: 1,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.04 : 2,091.60 = 992.40 : x
  2. Step 2: Convert to fraction form
    1,516.04/2,091.60 = 992.40/x
  3. Step 3: Cross multiply
    1,516.04x = 2,091.60 × 992.40
  4. Step 4: Simplify right side
    1,516.04x = 2,075,703.84
  5. Step 5: Solve for x
    x = 2,075,703.84/1,516.04
  6. Step 6: Final answer
    x = 1,369.16

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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.