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Finding the Fourth Proportional to 19,990.14, 29,969.01 and 8,312.10

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Solution

The fourth proportional to 19,990.14, 29,969.01 and 8,312.10 is: 12,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,990.14 : 29,969.01 = 8,312.10 : x
  2. Step 2: Convert to fraction form
    19,990.14/29,969.01 = 8,312.10/x
  3. Step 3: Cross multiply
    19,990.14x = 29,969.01 × 8,312.10
  4. Step 4: Simplify right side
    19,990.14x = 249,105,408.02
  5. Step 5: Solve for x
    x = 249,105,408.02/19,990.14
  6. Step 6: Final answer
    x = 12,461.41

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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.