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Finding the Fourth Proportional to 13,752.32, 18,978.20 and 7,464.68

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Solution

The fourth proportional to 13,752.32, 18,978.20 and 7,464.68 is: 10,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.32 : 18,978.20 = 7,464.68 : x
  2. Step 2: Convert to fraction form
    13,752.32/18,978.20 = 7,464.68/x
  3. Step 3: Cross multiply
    13,752.32x = 18,978.20 × 7,464.68
  4. Step 4: Simplify right side
    13,752.32x = 141,666,189.98
  5. Step 5: Solve for x
    x = 141,666,189.98/13,752.32
  6. Step 6: Final answer
    x = 10,301.26

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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.