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Finding the Fourth Proportional to 12,258, 18,330.93 and 9,140.13

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Solution

The fourth proportional to 12,258, 18,330.93 and 9,140.13 is: 13,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258 : 18,330.93 = 9,140.13 : x
  2. Step 2: Convert to fraction form
    12,258/18,330.93 = 9,140.13/x
  3. Step 3: Cross multiply
    12,258x = 18,330.93 × 9,140.13
  4. Step 4: Simplify right side
    12,258x = 167,547,083.22
  5. Step 5: Solve for x
    x = 167,547,083.22/12,258
  6. Step 6: Final answer
    x = 13,668.39

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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.