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Finding the Fourth Proportional to 13,999.85, 19,316.42 and 7,948.74

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Solution

The fourth proportional to 13,999.85, 19,316.42 and 7,948.74 is: 10,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.85 : 19,316.42 = 7,948.74 : x
  2. Step 2: Convert to fraction form
    13,999.85/19,316.42 = 7,948.74/x
  3. Step 3: Cross multiply
    13,999.85x = 19,316.42 × 7,948.74
  4. Step 4: Simplify right side
    13,999.85x = 153,541,160.57
  5. Step 5: Solve for x
    x = 153,541,160.57/13,999.85
  6. Step 6: Final answer
    x = 10,967.35

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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.