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Finding the Fourth Proportional to 15,802.70, 21,806.85 and 9,834.18

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Solution

The fourth proportional to 15,802.70, 21,806.85 and 9,834.18 is: 13,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.70 : 21,806.85 = 9,834.18 : x
  2. Step 2: Convert to fraction form
    15,802.70/21,806.85 = 9,834.18/x
  3. Step 3: Cross multiply
    15,802.70x = 21,806.85 × 9,834.18
  4. Step 4: Simplify right side
    15,802.70x = 214,452,488.13
  5. Step 5: Solve for x
    x = 214,452,488.13/15,802.70
  6. Step 6: Final answer
    x = 13,570.62

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1.5x scale

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.