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Finding the Fourth Proportional to 15,407, 21,261.70 and 8,333.42

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Solution

The fourth proportional to 15,407, 21,261.70 and 8,333.42 is: 11,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407 : 21,261.70 = 8,333.42 : x
  2. Step 2: Convert to fraction form
    15,407/21,261.70 = 8,333.42/x
  3. Step 3: Cross multiply
    15,407x = 21,261.70 × 8,333.42
  4. Step 4: Simplify right side
    15,407x = 177,182,676.01
  5. Step 5: Solve for x
    x = 177,182,676.01/15,407
  6. Step 6: Final answer
    x = 11,500.14

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Double scale
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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.