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Finding the Fourth Proportional to 12,218, 16,860.88 and 7,502.24

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Solution

The fourth proportional to 12,218, 16,860.88 and 7,502.24 is: 10,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218 : 16,860.88 = 7,502.24 : x
  2. Step 2: Convert to fraction form
    12,218/16,860.88 = 7,502.24/x
  3. Step 3: Cross multiply
    12,218x = 16,860.88 × 7,502.24
  4. Step 4: Simplify right side
    12,218x = 126,494,368.37
  5. Step 5: Solve for x
    x = 126,494,368.37/12,218
  6. Step 6: Final answer
    x = 10,353.12

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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.