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Finding the Fourth Proportional to 10,055.58, 15,078.60 and 4,509

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Solution

The fourth proportional to 10,055.58, 15,078.60 and 4,509 is: 6,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.58 : 15,078.60 = 4,509 : x
  2. Step 2: Convert to fraction form
    10,055.58/15,078.60 = 4,509/x
  3. Step 3: Cross multiply
    10,055.58x = 15,078.60 × 4,509
  4. Step 4: Simplify right side
    10,055.58x = 67,989,407.40
  5. Step 5: Solve for x
    x = 67,989,407.40/10,055.58
  6. Step 6: Final answer
    x = 6,761.36

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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.