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Finding the Fourth Proportional to 15,812.21, 21,830.92 and 9,852.64

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Solution

The fourth proportional to 15,812.21, 21,830.92 and 9,852.64 is: 13,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.21 : 21,830.92 = 9,852.64 : x
  2. Step 2: Convert to fraction form
    15,812.21/21,830.92 = 9,852.64/x
  3. Step 3: Cross multiply
    15,812.21x = 21,830.92 × 9,852.64
  4. Step 4: Simplify right side
    15,812.21x = 215,092,116.42
  5. Step 5: Solve for x
    x = 215,092,116.42/15,812.21
  6. Step 6: Final answer
    x = 13,602.91

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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.