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Finding the Fourth Proportional to 34,362, 47,419.65 and 20,030.34

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Solution

The fourth proportional to 34,362, 47,419.65 and 20,030.34 is: 27,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,362 : 47,419.65 = 20,030.34 : x
  2. Step 2: Convert to fraction form
    34,362/47,419.65 = 20,030.34/x
  3. Step 3: Cross multiply
    34,362x = 47,419.65 × 20,030.34
  4. Step 4: Simplify right side
    34,362x = 949,831,712.18
  5. Step 5: Solve for x
    x = 949,831,712.18/34,362
  6. Step 6: Final answer
    x = 27,641.92

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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.