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Finding the Fourth Proportional to 7,812.41, 11,702.91 and 3,646.67

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Solution

The fourth proportional to 7,812.41, 11,702.91 and 3,646.67 is: 5,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.41 : 11,702.91 = 3,646.67 : x
  2. Step 2: Convert to fraction form
    7,812.41/11,702.91 = 3,646.67/x
  3. Step 3: Cross multiply
    7,812.41x = 11,702.91 × 3,646.67
  4. Step 4: Simplify right side
    7,812.41x = 42,676,650.81
  5. Step 5: Solve for x
    x = 42,676,650.81/7,812.41
  6. Step 6: Final answer
    x = 5,462.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.