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Finding the Fourth Proportional to 6,681.60, 9,217.04 and 5,424.08

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Solution

The fourth proportional to 6,681.60, 9,217.04 and 5,424.08 is: 7,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.60 : 9,217.04 = 5,424.08 : x
  2. Step 2: Convert to fraction form
    6,681.60/9,217.04 = 5,424.08/x
  3. Step 3: Cross multiply
    6,681.60x = 9,217.04 × 5,424.08
  4. Step 4: Simplify right side
    6,681.60x = 49,993,962.32
  5. Step 5: Solve for x
    x = 49,993,962.32/6,681.60
  6. Step 6: Final answer
    x = 7,482.33

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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.