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Finding the Fourth Proportional to 10,534, 15,809.56 and 5,341.36

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Solution

The fourth proportional to 10,534, 15,809.56 and 5,341.36 is: 8,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534 : 15,809.56 = 5,341.36 : x
  2. Step 2: Convert to fraction form
    10,534/15,809.56 = 5,341.36/x
  3. Step 3: Cross multiply
    10,534x = 15,809.56 × 5,341.36
  4. Step 4: Simplify right side
    10,534x = 84,444,551.40
  5. Step 5: Solve for x
    x = 84,444,551.40/10,534
  6. Step 6: Final answer
    x = 8,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.