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Finding the Fourth Proportional to 12,948.06, 17,866.23 and 7,640.94

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Solution

The fourth proportional to 12,948.06, 17,866.23 and 7,640.94 is: 10,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,948.06 : 17,866.23 = 7,640.94 : x
  2. Step 2: Convert to fraction form
    12,948.06/17,866.23 = 7,640.94/x
  3. Step 3: Cross multiply
    12,948.06x = 17,866.23 × 7,640.94
  4. Step 4: Simplify right side
    12,948.06x = 136,514,791.46
  5. Step 5: Solve for x
    x = 136,514,791.46/12,948.06
  6. Step 6: Final answer
    x = 10,543.26

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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.