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Finding the Fourth Proportional to 14,312.40, 19,751.16 and 7,939.44

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Solution

The fourth proportional to 14,312.40, 19,751.16 and 7,939.44 is: 10,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.40 : 19,751.16 = 7,939.44 : x
  2. Step 2: Convert to fraction form
    14,312.40/19,751.16 = 7,939.44/x
  3. Step 3: Cross multiply
    14,312.40x = 19,751.16 × 7,939.44
  4. Step 4: Simplify right side
    14,312.40x = 156,813,149.75
  5. Step 5: Solve for x
    x = 156,813,149.75/14,312.40
  6. Step 6: Final answer
    x = 10,956.45

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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.