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Finding the Fourth Proportional to 13,070, 18,037.40 and 7,405.28

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Solution

The fourth proportional to 13,070, 18,037.40 and 7,405.28 is: 10,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 18,037.40 = 7,405.28 : x
  2. Step 2: Convert to fraction form
    13,070/18,037.40 = 7,405.28/x
  3. Step 3: Cross multiply
    13,070x = 18,037.40 × 7,405.28
  4. Step 4: Simplify right side
    13,070x = 133,571,997.47
  5. Step 5: Solve for x
    x = 133,571,997.47/13,070
  6. Step 6: Final answer
    x = 10,219.74

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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.