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Finding the Fourth Proportional to 13,788.64, 19,032.64 and 8,491.20

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Solution

The fourth proportional to 13,788.64, 19,032.64 and 8,491.20 is: 11,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.64 : 19,032.64 = 8,491.20 : x
  2. Step 2: Convert to fraction form
    13,788.64/19,032.64 = 8,491.20/x
  3. Step 3: Cross multiply
    13,788.64x = 19,032.64 × 8,491.20
  4. Step 4: Simplify right side
    13,788.64x = 161,609,952.77
  5. Step 5: Solve for x
    x = 161,609,952.77/13,788.64
  6. Step 6: Final answer
    x = 11,720.51

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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.