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Finding the Fourth Proportional to 7,038.85, 9,715.77 and 4,056.67

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Solution

The fourth proportional to 7,038.85, 9,715.77 and 4,056.67 is: 5,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.85 : 9,715.77 = 4,056.67 : x
  2. Step 2: Convert to fraction form
    7,038.85/9,715.77 = 4,056.67/x
  3. Step 3: Cross multiply
    7,038.85x = 9,715.77 × 4,056.67
  4. Step 4: Simplify right side
    7,038.85x = 39,413,624.47
  5. Step 5: Solve for x
    x = 39,413,624.47/7,038.85
  6. Step 6: Final answer
    x = 5,599.44

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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.