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Finding the Fourth Proportional to 21,705.76, 29,902.80 and 17,904.16

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Solution

The fourth proportional to 21,705.76, 29,902.80 and 17,904.16 is: 24,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.76 : 29,902.80 = 17,904.16 : x
  2. Step 2: Convert to fraction form
    21,705.76/29,902.80 = 17,904.16/x
  3. Step 3: Cross multiply
    21,705.76x = 29,902.80 × 17,904.16
  4. Step 4: Simplify right side
    21,705.76x = 535,384,515.65
  5. Step 5: Solve for x
    x = 535,384,515.65/21,705.76
  6. Step 6: Final answer
    x = 24,665.55

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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.