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Finding the Fourth Proportional to 7,718, 10,646.12 and 4,572.08

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Solution

The fourth proportional to 7,718, 10,646.12 and 4,572.08 is: 6,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718 : 10,646.12 = 4,572.08 : x
  2. Step 2: Convert to fraction form
    7,718/10,646.12 = 4,572.08/x
  3. Step 3: Cross multiply
    7,718x = 10,646.12 × 4,572.08
  4. Step 4: Simplify right side
    7,718x = 48,674,912.33
  5. Step 5: Solve for x
    x = 48,674,912.33/7,718
  6. Step 6: Final answer
    x = 6,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.