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Finding the Fourth Proportional to 7,971.88, 11,020.44 and 7,307.68

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Solution

The fourth proportional to 7,971.88, 11,020.44 and 7,307.68 is: 10,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.88 : 11,020.44 = 7,307.68 : x
  2. Step 2: Convert to fraction form
    7,971.88/11,020.44 = 7,307.68/x
  3. Step 3: Cross multiply
    7,971.88x = 11,020.44 × 7,307.68
  4. Step 4: Simplify right side
    7,971.88x = 80,533,848.98
  5. Step 5: Solve for x
    x = 80,533,848.98/7,971.88
  6. Step 6: Final answer
    x = 10,102.24

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1.5x scale

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.