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Finding the Fourth Proportional to 14,287.57, 19,715.15 and 8,237.74

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Solution

The fourth proportional to 14,287.57, 19,715.15 and 8,237.74 is: 11,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.57 : 19,715.15 = 8,237.74 : x
  2. Step 2: Convert to fraction form
    14,287.57/19,715.15 = 8,237.74/x
  3. Step 3: Cross multiply
    14,287.57x = 19,715.15 × 8,237.74
  4. Step 4: Simplify right side
    14,287.57x = 162,408,279.76
  5. Step 5: Solve for x
    x = 162,408,279.76/14,287.57
  6. Step 6: Final answer
    x = 11,367.10

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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.