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Finding the Fourth Proportional to 14,390.42, 19,857 and 8,420.72

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Solution

The fourth proportional to 14,390.42, 19,857 and 8,420.72 is: 11,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.42 : 19,857 = 8,420.72 : x
  2. Step 2: Convert to fraction form
    14,390.42/19,857 = 8,420.72/x
  3. Step 3: Cross multiply
    14,390.42x = 19,857 × 8,420.72
  4. Step 4: Simplify right side
    14,390.42x = 167,210,237.04
  5. Step 5: Solve for x
    x = 167,210,237.04/14,390.42
  6. Step 6: Final answer
    x = 11,619.55

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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.