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Finding the Fourth Proportional to 14,259.44, 19,678.08 and 7,971.92

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Solution

The fourth proportional to 14,259.44, 19,678.08 and 7,971.92 is: 11,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.44 : 19,678.08 = 7,971.92 : x
  2. Step 2: Convert to fraction form
    14,259.44/19,678.08 = 7,971.92/x
  3. Step 3: Cross multiply
    14,259.44x = 19,678.08 × 7,971.92
  4. Step 4: Simplify right side
    14,259.44x = 156,872,079.51
  5. Step 5: Solve for x
    x = 156,872,079.51/14,259.44
  6. Step 6: Final answer
    x = 11,001.28

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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.