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Finding the Fourth Proportional to 7,225.67, 9,971.02 and 4,038.77

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Solution

The fourth proportional to 7,225.67, 9,971.02 and 4,038.77 is: 5,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.67 : 9,971.02 = 4,038.77 : x
  2. Step 2: Convert to fraction form
    7,225.67/9,971.02 = 4,038.77/x
  3. Step 3: Cross multiply
    7,225.67x = 9,971.02 × 4,038.77
  4. Step 4: Simplify right side
    7,225.67x = 40,270,656.45
  5. Step 5: Solve for x
    x = 40,270,656.45/7,225.67
  6. Step 6: Final answer
    x = 5,573.28

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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.