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Finding the Fourth Proportional to 12,509.96, 17,258.37 and 7,203.65

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Solution

The fourth proportional to 12,509.96, 17,258.37 and 7,203.65 is: 9,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.96 : 17,258.37 = 7,203.65 : x
  2. Step 2: Convert to fraction form
    12,509.96/17,258.37 = 7,203.65/x
  3. Step 3: Cross multiply
    12,509.96x = 17,258.37 × 7,203.65
  4. Step 4: Simplify right side
    12,509.96x = 124,323,170.76
  5. Step 5: Solve for x
    x = 124,323,170.76/12,509.96
  6. Step 6: Final answer
    x = 9,937.94

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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.