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Finding the Fourth Proportional to 9,969.76, 14,945.40 and 4,420.16

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Solution

The fourth proportional to 9,969.76, 14,945.40 and 4,420.16 is: 6,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.76 : 14,945.40 = 4,420.16 : x
  2. Step 2: Convert to fraction form
    9,969.76/14,945.40 = 4,420.16/x
  3. Step 3: Cross multiply
    9,969.76x = 14,945.40 × 4,420.16
  4. Step 4: Simplify right side
    9,969.76x = 66,061,059.26
  5. Step 5: Solve for x
    x = 66,061,059.26/9,969.76
  6. Step 6: Final answer
    x = 6,626.14

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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.