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Finding the Fourth Proportional to 10,805.51, 14,914.38 and 7,038.06

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Solution

The fourth proportional to 10,805.51, 14,914.38 and 7,038.06 is: 9,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.51 : 14,914.38 = 7,038.06 : x
  2. Step 2: Convert to fraction form
    10,805.51/14,914.38 = 7,038.06/x
  3. Step 3: Cross multiply
    10,805.51x = 14,914.38 × 7,038.06
  4. Step 4: Simplify right side
    10,805.51x = 104,968,301.30
  5. Step 5: Solve for x
    x = 104,968,301.30/10,805.51
  6. Step 6: Final answer
    x = 9,714.33

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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.