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Finding the Fourth Proportional to 12,802.26, 19,186.65 and 7,258.08

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Solution

The fourth proportional to 12,802.26, 19,186.65 and 7,258.08 is: 10,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.26 : 19,186.65 = 7,258.08 : x
  2. Step 2: Convert to fraction form
    12,802.26/19,186.65 = 7,258.08/x
  3. Step 3: Cross multiply
    12,802.26x = 19,186.65 × 7,258.08
  4. Step 4: Simplify right side
    12,802.26x = 139,258,240.63
  5. Step 5: Solve for x
    x = 139,258,240.63/12,802.26
  6. Step 6: Final answer
    x = 10,877.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.