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Finding the Fourth Proportional to 7,474.46, 10,307.72 and 5,590.40

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Solution

The fourth proportional to 7,474.46, 10,307.72 and 5,590.40 is: 7,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.46 : 10,307.72 = 5,590.40 : x
  2. Step 2: Convert to fraction form
    7,474.46/10,307.72 = 5,590.40/x
  3. Step 3: Cross multiply
    7,474.46x = 10,307.72 × 5,590.40
  4. Step 4: Simplify right side
    7,474.46x = 57,624,240.33
  5. Step 5: Solve for x
    x = 57,624,240.33/7,474.46
  6. Step 6: Final answer
    x = 7,709.49

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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.