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Finding the Fourth Proportional to 13,210.92, 19,818 and 6,187.32

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Solution

The fourth proportional to 13,210.92, 19,818 and 6,187.32 is: 9,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.92 : 19,818 = 6,187.32 : x
  2. Step 2: Convert to fraction form
    13,210.92/19,818 = 6,187.32/x
  3. Step 3: Cross multiply
    13,210.92x = 19,818 × 6,187.32
  4. Step 4: Simplify right side
    13,210.92x = 122,620,307.76
  5. Step 5: Solve for x
    x = 122,620,307.76/13,210.92
  6. Step 6: Final answer
    x = 9,281.74

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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.