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Finding the Fourth Proportional to 13,809.47, 19,056.50 and 7,841.47

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Solution

The fourth proportional to 13,809.47, 19,056.50 and 7,841.47 is: 10,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.47 : 19,056.50 = 7,841.47 : x
  2. Step 2: Convert to fraction form
    13,809.47/19,056.50 = 7,841.47/x
  3. Step 3: Cross multiply
    13,809.47x = 19,056.50 × 7,841.47
  4. Step 4: Simplify right side
    13,809.47x = 149,430,973.06
  5. Step 5: Solve for x
    x = 149,430,973.06/13,809.47
  6. Step 6: Final answer
    x = 10,820.91

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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.