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Finding the Fourth Proportional to 14,421.76, 19,903.80 and 8,134

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Solution

The fourth proportional to 14,421.76, 19,903.80 and 8,134 is: 11,225.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.76 : 19,903.80 = 8,134 : x
  2. Step 2: Convert to fraction form
    14,421.76/19,903.80 = 8,134/x
  3. Step 3: Cross multiply
    14,421.76x = 19,903.80 × 8,134
  4. Step 4: Simplify right side
    14,421.76x = 161,897,509.20
  5. Step 5: Solve for x
    x = 161,897,509.20/14,421.76
  6. Step 6: Final answer
    x = 11,225.92

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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.