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Finding the Fourth Proportional to 15,806.61, 21,811.68 and 9,094.41

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Solution

The fourth proportional to 15,806.61, 21,811.68 and 9,094.41 is: 12,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.61 : 21,811.68 = 9,094.41 : x
  2. Step 2: Convert to fraction form
    15,806.61/21,811.68 = 9,094.41/x
  3. Step 3: Cross multiply
    15,806.61x = 21,811.68 × 9,094.41
  4. Step 4: Simplify right side
    15,806.61x = 198,364,360.71
  5. Step 5: Solve for x
    x = 198,364,360.71/15,806.61
  6. Step 6: Final answer
    x = 12,549.46

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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.