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Finding the Fourth Proportional to 15,423.99, 23,142.15 and 9,186.99

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Solution

The fourth proportional to 15,423.99, 23,142.15 and 9,186.99 is: 13,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423.99 : 23,142.15 = 9,186.99 : x
  2. Step 2: Convert to fraction form
    15,423.99/23,142.15 = 9,186.99/x
  3. Step 3: Cross multiply
    15,423.99x = 23,142.15 × 9,186.99
  4. Step 4: Simplify right side
    15,423.99x = 212,606,700.63
  5. Step 5: Solve for x
    x = 212,606,700.63/15,423.99
  6. Step 6: Final answer
    x = 13,784.16

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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.