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Finding the Fourth Proportional to 12,905.75, 17,810.21 and 7,316.75

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Solution

The fourth proportional to 12,905.75, 17,810.21 and 7,316.75 is: 10,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.75 : 17,810.21 = 7,316.75 : x
  2. Step 2: Convert to fraction form
    12,905.75/17,810.21 = 7,316.75/x
  3. Step 3: Cross multiply
    12,905.75x = 17,810.21 × 7,316.75
  4. Step 4: Simplify right side
    12,905.75x = 130,312,854.02
  5. Step 5: Solve for x
    x = 130,312,854.02/12,905.75
  6. Step 6: Final answer
    x = 10,097.27

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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.