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Finding the Fourth Proportional to 14,054.40, 19,381.89 and 9,020.20

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Solution

The fourth proportional to 14,054.40, 19,381.89 and 9,020.20 is: 12,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.40 : 19,381.89 = 9,020.20 : x
  2. Step 2: Convert to fraction form
    14,054.40/19,381.89 = 9,020.20/x
  3. Step 3: Cross multiply
    14,054.40x = 19,381.89 × 9,020.20
  4. Step 4: Simplify right side
    14,054.40x = 174,828,479.08
  5. Step 5: Solve for x
    x = 174,828,479.08/14,054.40
  6. Step 6: Final answer
    x = 12,439.41

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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.