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Finding the Fourth Proportional to 10,138.59, 15,210.66 and 4,878

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Solution

The fourth proportional to 10,138.59, 15,210.66 and 4,878 is: 7,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.59 : 15,210.66 = 4,878 : x
  2. Step 2: Convert to fraction form
    10,138.59/15,210.66 = 4,878/x
  3. Step 3: Cross multiply
    10,138.59x = 15,210.66 × 4,878
  4. Step 4: Simplify right side
    10,138.59x = 74,197,599.48
  5. Step 5: Solve for x
    x = 74,197,599.48/10,138.59
  6. Step 6: Final answer
    x = 7,318.34

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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.