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Finding the Fourth Proportional to 15,817, 21,827.84 and 10,237.72

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Solution

The fourth proportional to 15,817, 21,827.84 and 10,237.72 is: 14,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817 : 21,827.84 = 10,237.72 : x
  2. Step 2: Convert to fraction form
    15,817/21,827.84 = 10,237.72/x
  3. Step 3: Cross multiply
    15,817x = 21,827.84 × 10,237.72
  4. Step 4: Simplify right side
    15,817x = 223,467,314.12
  5. Step 5: Solve for x
    x = 223,467,314.12/15,817
  6. Step 6: Final answer
    x = 14,128.30

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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.