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Finding the Fourth Proportional to 28,547.64, 42,821.64 and 7,771.32

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Solution

The fourth proportional to 28,547.64, 42,821.64 and 7,771.32 is: 11,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,547.64 : 42,821.64 = 7,771.32 : x
  2. Step 2: Convert to fraction form
    28,547.64/42,821.64 = 7,771.32/x
  3. Step 3: Cross multiply
    28,547.64x = 42,821.64 × 7,771.32
  4. Step 4: Simplify right side
    28,547.64x = 332,780,667.36
  5. Step 5: Solve for x
    x = 332,780,667.36/28,547.64
  6. Step 6: Final answer
    x = 11,657.03

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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.