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Finding the Fourth Proportional to 5,277.78, 7,918.02 and 1,580.00

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Solution

The fourth proportional to 5,277.78, 7,918.02 and 1,580.00 is: 2,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.78 : 7,918.02 = 1,580.00 : x
  2. Step 2: Convert to fraction form
    5,277.78/7,918.02 = 1,580.00/x
  3. Step 3: Cross multiply
    5,277.78x = 7,918.02 × 1,580.00
  4. Step 4: Simplify right side
    5,277.78x = 12,510,432.01
  5. Step 5: Solve for x
    x = 12,510,432.01/5,277.78
  6. Step 6: Final answer
    x = 2,370.40

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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.