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Finding the Fourth Proportional to 14,486, 19,999.70 and 9,956.48

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Solution

The fourth proportional to 14,486, 19,999.70 and 9,956.48 is: 13,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486 : 19,999.70 = 9,956.48 : x
  2. Step 2: Convert to fraction form
    14,486/19,999.70 = 9,956.48/x
  3. Step 3: Cross multiply
    14,486x = 19,999.70 × 9,956.48
  4. Step 4: Simplify right side
    14,486x = 199,126,613.06
  5. Step 5: Solve for x
    x = 199,126,613.06/14,486
  6. Step 6: Final answer
    x = 13,746.14

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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.