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Finding the Fourth Proportional to 14,552, 20,090.72 and 11,400.64

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Solution

The fourth proportional to 14,552, 20,090.72 and 11,400.64 is: 15,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552 : 20,090.72 = 11,400.64 : x
  2. Step 2: Convert to fraction form
    14,552/20,090.72 = 11,400.64/x
  3. Step 3: Cross multiply
    14,552x = 20,090.72 × 11,400.64
  4. Step 4: Simplify right side
    14,552x = 229,047,066.06
  5. Step 5: Solve for x
    x = 229,047,066.06/14,552
  6. Step 6: Final answer
    x = 15,739.90

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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.