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Finding the Fourth Proportional to 28,507.76, 42,762.84 and 7,731.26

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Solution

The fourth proportional to 28,507.76, 42,762.84 and 7,731.26 is: 11,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,507.76 : 42,762.84 = 7,731.26 : x
  2. Step 2: Convert to fraction form
    28,507.76/42,762.84 = 7,731.26/x
  3. Step 3: Cross multiply
    28,507.76x = 42,762.84 × 7,731.26
  4. Step 4: Simplify right side
    28,507.76x = 330,610,634.38
  5. Step 5: Solve for x
    x = 330,610,634.38/28,507.76
  6. Step 6: Final answer
    x = 11,597.22

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1.5x scale

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.