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Finding the Fourth Proportional to 13,802.87, 19,047.40 and 7,834.43

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Solution

The fourth proportional to 13,802.87, 19,047.40 and 7,834.43 is: 10,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.87 : 19,047.40 = 7,834.43 : x
  2. Step 2: Convert to fraction form
    13,802.87/19,047.40 = 7,834.43/x
  3. Step 3: Cross multiply
    13,802.87x = 19,047.40 × 7,834.43
  4. Step 4: Simplify right side
    13,802.87x = 149,225,550.01
  5. Step 5: Solve for x
    x = 149,225,550.01/13,802.87
  6. Step 6: Final answer
    x = 10,811.20

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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.