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Finding the Fourth Proportional to 14,321.60, 19,763.22 and 7,948.46

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Solution

The fourth proportional to 14,321.60, 19,763.22 and 7,948.46 is: 10,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.60 : 19,763.22 = 7,948.46 : x
  2. Step 2: Convert to fraction form
    14,321.60/19,763.22 = 7,948.46/x
  3. Step 3: Cross multiply
    14,321.60x = 19,763.22 × 7,948.46
  4. Step 4: Simplify right side
    14,321.60x = 157,087,168.74
  5. Step 5: Solve for x
    x = 157,087,168.74/14,321.60
  6. Step 6: Final answer
    x = 10,968.55

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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.