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Finding the Fourth Proportional to 34,478.82, 51,719.35 and 9,520.74

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Solution

The fourth proportional to 34,478.82, 51,719.35 and 9,520.74 is: 14,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478.82 : 51,719.35 = 9,520.74 : x
  2. Step 2: Convert to fraction form
    34,478.82/51,719.35 = 9,520.74/x
  3. Step 3: Cross multiply
    34,478.82x = 51,719.35 × 9,520.74
  4. Step 4: Simplify right side
    34,478.82x = 492,406,484.32
  5. Step 5: Solve for x
    x = 492,406,484.32/34,478.82
  6. Step 6: Final answer
    x = 14,281.42

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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.