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Finding the Fourth Proportional to 15,776.84, 21,772.04 and 8,703.26

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Solution

The fourth proportional to 15,776.84, 21,772.04 and 8,703.26 is: 12,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.84 : 21,772.04 = 8,703.26 : x
  2. Step 2: Convert to fraction form
    15,776.84/21,772.04 = 8,703.26/x
  3. Step 3: Cross multiply
    15,776.84x = 21,772.04 × 8,703.26
  4. Step 4: Simplify right side
    15,776.84x = 189,487,801.04
  5. Step 5: Solve for x
    x = 189,487,801.04/15,776.84
  6. Step 6: Final answer
    x = 12,010.50

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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.