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Finding the Fourth Proportional to 12,903.60, 17,808.36 and 7,314

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Solution

The fourth proportional to 12,903.60, 17,808.36 and 7,314 is: 10,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.60 : 17,808.36 = 7,314 : x
  2. Step 2: Convert to fraction form
    12,903.60/17,808.36 = 7,314/x
  3. Step 3: Cross multiply
    12,903.60x = 17,808.36 × 7,314
  4. Step 4: Simplify right side
    12,903.60x = 130,250,345.04
  5. Step 5: Solve for x
    x = 130,250,345.04/12,903.60
  6. Step 6: Final answer
    x = 10,094.11

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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.