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Finding the Fourth Proportional to 13,210.90, 19,802.91 and 8,283.97

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Solution

The fourth proportional to 13,210.90, 19,802.91 and 8,283.97 is: 12,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.90 : 19,802.91 = 8,283.97 : x
  2. Step 2: Convert to fraction form
    13,210.90/19,802.91 = 8,283.97/x
  3. Step 3: Cross multiply
    13,210.90x = 19,802.91 × 8,283.97
  4. Step 4: Simplify right side
    13,210.90x = 164,046,768.17
  5. Step 5: Solve for x
    x = 164,046,768.17/13,210.90
  6. Step 6: Final answer
    x = 12,417.53

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1.5x scale

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.