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Finding the Fourth Proportional to 19,819.63, 29,750.20 and 10,457.12

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Solution

The fourth proportional to 19,819.63, 29,750.20 and 10,457.12 is: 15,696.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.63 : 29,750.20 = 10,457.12 : x
  2. Step 2: Convert to fraction form
    19,819.63/29,750.20 = 10,457.12/x
  3. Step 3: Cross multiply
    19,819.63x = 29,750.20 × 10,457.12
  4. Step 4: Simplify right side
    19,819.63x = 311,101,459.66
  5. Step 5: Solve for x
    x = 311,101,459.66/19,819.63
  6. Step 6: Final answer
    x = 15,696.63

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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.