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Finding the Fourth Proportional to 13,205.61, 19,795.07 and 8,278.71

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Solution

The fourth proportional to 13,205.61, 19,795.07 and 8,278.71 is: 12,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.61 : 19,795.07 = 8,278.71 : x
  2. Step 2: Convert to fraction form
    13,205.61/19,795.07 = 8,278.71/x
  3. Step 3: Cross multiply
    13,205.61x = 19,795.07 × 8,278.71
  4. Step 4: Simplify right side
    13,205.61x = 163,877,602.57
  5. Step 5: Solve for x
    x = 163,877,602.57/13,205.61
  6. Step 6: Final answer
    x = 12,409.70

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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.