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Finding the Fourth Proportional to 19,986.89, 29,970.74 and 9,448.11

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Solution

The fourth proportional to 19,986.89, 29,970.74 and 9,448.11 is: 14,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.89 : 29,970.74 = 9,448.11 : x
  2. Step 2: Convert to fraction form
    19,986.89/29,970.74 = 9,448.11/x
  3. Step 3: Cross multiply
    19,986.89x = 29,970.74 × 9,448.11
  4. Step 4: Simplify right side
    19,986.89x = 283,166,871.92
  5. Step 5: Solve for x
    x = 283,166,871.92/19,986.89
  6. Step 6: Final answer
    x = 14,167.63

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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.