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Finding the Fourth Proportional to 12,507, 17,261.46 and 7,201.32

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Solution

The fourth proportional to 12,507, 17,261.46 and 7,201.32 is: 9,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507 : 17,261.46 = 7,201.32 : x
  2. Step 2: Convert to fraction form
    12,507/17,261.46 = 7,201.32/x
  3. Step 3: Cross multiply
    12,507x = 17,261.46 × 7,201.32
  4. Step 4: Simplify right side
    12,507x = 124,305,297.13
  5. Step 5: Solve for x
    x = 124,305,297.13/12,507
  6. Step 6: Final answer
    x = 9,938.86

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Double scale
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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.