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Finding the Fourth Proportional to 10,041.95, 13,858 and 5,565.78

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Solution

The fourth proportional to 10,041.95, 13,858 and 5,565.78 is: 7,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.95 : 13,858 = 5,565.78 : x
  2. Step 2: Convert to fraction form
    10,041.95/13,858 = 5,565.78/x
  3. Step 3: Cross multiply
    10,041.95x = 13,858 × 5,565.78
  4. Step 4: Simplify right side
    10,041.95x = 77,130,579.24
  5. Step 5: Solve for x
    x = 77,130,579.24/10,041.95
  6. Step 6: Final answer
    x = 7,680.84

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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.