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Finding the Fourth Proportional to 14,259.78, 19,679.13 and 7,972.16

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Solution

The fourth proportional to 14,259.78, 19,679.13 and 7,972.16 is: 11,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.78 : 19,679.13 = 7,972.16 : x
  2. Step 2: Convert to fraction form
    14,259.78/19,679.13 = 7,972.16/x
  3. Step 3: Cross multiply
    14,259.78x = 19,679.13 × 7,972.16
  4. Step 4: Simplify right side
    14,259.78x = 156,885,074.63
  5. Step 5: Solve for x
    x = 156,885,074.63/14,259.78
  6. Step 6: Final answer
    x = 11,001.93

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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.