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Finding the Fourth Proportional to 9,971.70, 14,969.70 and 5,038.80

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Solution

The fourth proportional to 9,971.70, 14,969.70 and 5,038.80 is: 7,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.70 : 14,969.70 = 5,038.80 : x
  2. Step 2: Convert to fraction form
    9,971.70/14,969.70 = 5,038.80/x
  3. Step 3: Cross multiply
    9,971.70x = 14,969.70 × 5,038.80
  4. Step 4: Simplify right side
    9,971.70x = 75,429,324.36
  5. Step 5: Solve for x
    x = 75,429,324.36/9,971.70
  6. Step 6: Final answer
    x = 7,564.34

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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.