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Finding the Fourth Proportional to 10,078.78, 13,907.05 and 5,602.41

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Solution

The fourth proportional to 10,078.78, 13,907.05 and 5,602.41 is: 7,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.78 : 13,907.05 = 5,602.41 : x
  2. Step 2: Convert to fraction form
    10,078.78/13,907.05 = 5,602.41/x
  3. Step 3: Cross multiply
    10,078.78x = 13,907.05 × 5,602.41
  4. Step 4: Simplify right side
    10,078.78x = 77,912,995.99
  5. Step 5: Solve for x
    x = 77,912,995.99/10,078.78
  6. Step 6: Final answer
    x = 7,730.40

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1.5x scale

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.