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Finding the Fourth Proportional to 15,813.77, 21,822.92 and 8,740.14

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Solution

The fourth proportional to 15,813.77, 21,822.92 and 8,740.14 is: 12,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.77 : 21,822.92 = 8,740.14 : x
  2. Step 2: Convert to fraction form
    15,813.77/21,822.92 = 8,740.14/x
  3. Step 3: Cross multiply
    15,813.77x = 21,822.92 × 8,740.14
  4. Step 4: Simplify right side
    15,813.77x = 190,735,283.25
  5. Step 5: Solve for x
    x = 190,735,283.25/15,813.77
  6. Step 6: Final answer
    x = 12,061.35

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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.