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Finding the Fourth Proportional to 10,645, 15,967.77 and 3,719.50

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Solution

The fourth proportional to 10,645, 15,967.77 and 3,719.50 is: 5,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645 : 15,967.77 = 3,719.50 : x
  2. Step 2: Convert to fraction form
    10,645/15,967.77 = 3,719.50/x
  3. Step 3: Cross multiply
    10,645x = 15,967.77 × 3,719.50
  4. Step 4: Simplify right side
    10,645x = 59,392,120.52
  5. Step 5: Solve for x
    x = 59,392,120.52/10,645
  6. Step 6: Final answer
    x = 5,579.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.