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Finding the Fourth Proportional to 13,802.04, 19,038.20 and 8,422

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Solution

The fourth proportional to 13,802.04, 19,038.20 and 8,422 is: 11,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.04 : 19,038.20 = 8,422 : x
  2. Step 2: Convert to fraction form
    13,802.04/19,038.20 = 8,422/x
  3. Step 3: Cross multiply
    13,802.04x = 19,038.20 × 8,422
  4. Step 4: Simplify right side
    13,802.04x = 160,339,720.40
  5. Step 5: Solve for x
    x = 160,339,720.40/13,802.04
  6. Step 6: Final answer
    x = 11,617.10

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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.