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Finding the Fourth Proportional to 7,228.24, 9,977.76 and 6,216

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Solution

The fourth proportional to 7,228.24, 9,977.76 and 6,216 is: 8,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.24 : 9,977.76 = 6,216 : x
  2. Step 2: Convert to fraction form
    7,228.24/9,977.76 = 6,216/x
  3. Step 3: Cross multiply
    7,228.24x = 9,977.76 × 6,216
  4. Step 4: Simplify right side
    7,228.24x = 62,021,756.16
  5. Step 5: Solve for x
    x = 62,021,756.16/7,228.24
  6. Step 6: Final answer
    x = 8,580.48

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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.