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Finding the Fourth Proportional to 9,216.64, 12,712.10 and 7,223.23

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Solution

The fourth proportional to 9,216.64, 12,712.10 and 7,223.23 is: 9,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.64 : 12,712.10 = 7,223.23 : x
  2. Step 2: Convert to fraction form
    9,216.64/12,712.10 = 7,223.23/x
  3. Step 3: Cross multiply
    9,216.64x = 12,712.10 × 7,223.23
  4. Step 4: Simplify right side
    9,216.64x = 91,822,422.08
  5. Step 5: Solve for x
    x = 91,822,422.08/9,216.64
  6. Step 6: Final answer
    x = 9,962.68

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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.