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Finding the Fourth Proportional to 14,384.61, 19,852.10 and 8,415.90

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Solution

The fourth proportional to 14,384.61, 19,852.10 and 8,415.90 is: 11,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.61 : 19,852.10 = 8,415.90 : x
  2. Step 2: Convert to fraction form
    14,384.61/19,852.10 = 8,415.90/x
  3. Step 3: Cross multiply
    14,384.61x = 19,852.10 × 8,415.90
  4. Step 4: Simplify right side
    14,384.61x = 167,073,288.39
  5. Step 5: Solve for x
    x = 167,073,288.39/14,384.61
  6. Step 6: Final answer
    x = 11,614.72

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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.