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Finding the Fourth Proportional to 14,281.52, 21,421.08 and 4,921.52

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Solution

The fourth proportional to 14,281.52, 21,421.08 and 4,921.52 is: 7,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.52 : 21,421.08 = 4,921.52 : x
  2. Step 2: Convert to fraction form
    14,281.52/21,421.08 = 4,921.52/x
  3. Step 3: Cross multiply
    14,281.52x = 21,421.08 × 4,921.52
  4. Step 4: Simplify right side
    14,281.52x = 105,424,273.64
  5. Step 5: Solve for x
    x = 105,424,273.64/14,281.52
  6. Step 6: Final answer
    x = 7,381.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.