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Finding the Fourth Proportional to 6,430.40, 9,645.50 and 2,047.80

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Solution

The fourth proportional to 6,430.40, 9,645.50 and 2,047.80 is: 3,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.40 : 9,645.50 = 2,047.80 : x
  2. Step 2: Convert to fraction form
    6,430.40/9,645.50 = 2,047.80/x
  3. Step 3: Cross multiply
    6,430.40x = 9,645.50 × 2,047.80
  4. Step 4: Simplify right side
    6,430.40x = 19,752,054.90
  5. Step 5: Solve for x
    x = 19,752,054.90/6,430.40
  6. Step 6: Final answer
    x = 3,071.67

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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.