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Finding the Fourth Proportional to 13,802.40, 19,051.20 and 12,441.60

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Solution

The fourth proportional to 13,802.40, 19,051.20 and 12,441.60 is: 17,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.40 : 19,051.20 = 12,441.60 : x
  2. Step 2: Convert to fraction form
    13,802.40/19,051.20 = 12,441.60/x
  3. Step 3: Cross multiply
    13,802.40x = 19,051.20 × 12,441.60
  4. Step 4: Simplify right side
    13,802.40x = 237,027,409.92
  5. Step 5: Solve for x
    x = 237,027,409.92/13,802.40
  6. Step 6: Final answer
    x = 17,172.91

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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.