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Finding the Fourth Proportional to 14,515, 20,030.93 and 8,143.01

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Solution

The fourth proportional to 14,515, 20,030.93 and 8,143.01 is: 11,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515 : 20,030.93 = 8,143.01 : x
  2. Step 2: Convert to fraction form
    14,515/20,030.93 = 8,143.01/x
  3. Step 3: Cross multiply
    14,515x = 20,030.93 × 8,143.01
  4. Step 4: Simplify right side
    14,515x = 163,112,063.30
  5. Step 5: Solve for x
    x = 163,112,063.30/14,515
  6. Step 6: Final answer
    x = 11,237.48

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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.