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Finding the Fourth Proportional to 15,140, 22,707.31 and 4,607.48

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Solution

The fourth proportional to 15,140, 22,707.31 and 4,607.48 is: 6,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140 : 22,707.31 = 4,607.48 : x
  2. Step 2: Convert to fraction form
    15,140/22,707.31 = 4,607.48/x
  3. Step 3: Cross multiply
    15,140x = 22,707.31 × 4,607.48
  4. Step 4: Simplify right side
    15,140x = 104,623,476.68
  5. Step 5: Solve for x
    x = 104,623,476.68/15,140
  6. Step 6: Final answer
    x = 6,910.40

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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.