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Finding the Fourth Proportional to 13,213, 19,803.30 and 7,944.76

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Solution

The fourth proportional to 13,213, 19,803.30 and 7,944.76 is: 11,907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213 : 19,803.30 = 7,944.76 : x
  2. Step 2: Convert to fraction form
    13,213/19,803.30 = 7,944.76/x
  3. Step 3: Cross multiply
    13,213x = 19,803.30 × 7,944.76
  4. Step 4: Simplify right side
    13,213x = 157,332,465.71
  5. Step 5: Solve for x
    x = 157,332,465.71/13,213
  6. Step 6: Final answer
    x = 11,907.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.