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Finding the Fourth Proportional to 14,406.87, 19,886.40 and 8,440.44

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Solution

The fourth proportional to 14,406.87, 19,886.40 and 8,440.44 is: 11,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.87 : 19,886.40 = 8,440.44 : x
  2. Step 2: Convert to fraction form
    14,406.87/19,886.40 = 8,440.44/x
  3. Step 3: Cross multiply
    14,406.87x = 19,886.40 × 8,440.44
  4. Step 4: Simplify right side
    14,406.87x = 167,849,966.02
  5. Step 5: Solve for x
    x = 167,849,966.02/14,406.87
  6. Step 6: Final answer
    x = 11,650.69

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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.