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Finding the Fourth Proportional to 28,655.10, 42,978.06 and 7,873.74

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Solution

The fourth proportional to 28,655.10, 42,978.06 and 7,873.74 is: 11,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,655.10 : 42,978.06 = 7,873.74 : x
  2. Step 2: Convert to fraction form
    28,655.10/42,978.06 = 7,873.74/x
  3. Step 3: Cross multiply
    28,655.10x = 42,978.06 × 7,873.74
  4. Step 4: Simplify right side
    28,655.10x = 338,398,070.14
  5. Step 5: Solve for x
    x = 338,398,070.14/28,655.10
  6. Step 6: Final answer
    x = 11,809.35

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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.