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Finding the Fourth Proportional to 13,389.65, 18,477.75 and 7,421.42

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Solution

The fourth proportional to 13,389.65, 18,477.75 and 7,421.42 is: 10,241.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389.65 : 18,477.75 = 7,421.42 : x
  2. Step 2: Convert to fraction form
    13,389.65/18,477.75 = 7,421.42/x
  3. Step 3: Cross multiply
    13,389.65x = 18,477.75 × 7,421.42
  4. Step 4: Simplify right side
    13,389.65x = 137,131,051.02
  5. Step 5: Solve for x
    x = 137,131,051.02/13,389.65
  6. Step 6: Final answer
    x = 10,241.57

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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.