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Finding the Fourth Proportional to 5,285.54, 7,928.51 and 1,775.40

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Solution

The fourth proportional to 5,285.54, 7,928.51 and 1,775.40 is: 2,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.54 : 7,928.51 = 1,775.40 : x
  2. Step 2: Convert to fraction form
    5,285.54/7,928.51 = 1,775.40/x
  3. Step 3: Cross multiply
    5,285.54x = 7,928.51 × 1,775.40
  4. Step 4: Simplify right side
    5,285.54x = 14,076,267.78
  5. Step 5: Solve for x
    x = 14,076,267.78/5,285.54
  6. Step 6: Final answer
    x = 2,663.17

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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.