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Finding the Fourth Proportional to 15,818, 21,829.22 and 10,238.72

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Solution

The fourth proportional to 15,818, 21,829.22 and 10,238.72 is: 14,129.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818 : 21,829.22 = 10,238.72 : x
  2. Step 2: Convert to fraction form
    15,818/21,829.22 = 10,238.72/x
  3. Step 3: Cross multiply
    15,818x = 21,829.22 × 10,238.72
  4. Step 4: Simplify right side
    15,818x = 223,503,271.40
  5. Step 5: Solve for x
    x = 223,503,271.40/15,818
  6. Step 6: Final answer
    x = 14,129.68

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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.