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Finding the Fourth Proportional to 7,501.75, 10,277.36 and 7,221.40

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Solution

The fourth proportional to 7,501.75, 10,277.36 and 7,221.40 is: 9,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.75 : 10,277.36 = 7,221.40 : x
  2. Step 2: Convert to fraction form
    7,501.75/10,277.36 = 7,221.40/x
  3. Step 3: Cross multiply
    7,501.75x = 10,277.36 × 7,221.40
  4. Step 4: Simplify right side
    7,501.75x = 74,216,927.50
  5. Step 5: Solve for x
    x = 74,216,927.50/7,501.75
  6. Step 6: Final answer
    x = 9,893.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.