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Finding the Fourth Proportional to 14,423.04, 19,907 and 9,378.48

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Solution

The fourth proportional to 14,423.04, 19,907 and 9,378.48 is: 12,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.04 : 19,907 = 9,378.48 : x
  2. Step 2: Convert to fraction form
    14,423.04/19,907 = 9,378.48/x
  3. Step 3: Cross multiply
    14,423.04x = 19,907 × 9,378.48
  4. Step 4: Simplify right side
    14,423.04x = 186,697,401.36
  5. Step 5: Solve for x
    x = 186,697,401.36/14,423.04
  6. Step 6: Final answer
    x = 12,944.39

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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.