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Finding the Fourth Proportional to 6,478, 9,720.52 and 2,582.40

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Solution

The fourth proportional to 6,478, 9,720.52 and 2,582.40 is: 3,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478 : 9,720.52 = 2,582.40 : x
  2. Step 2: Convert to fraction form
    6,478/9,720.52 = 2,582.40/x
  3. Step 3: Cross multiply
    6,478x = 9,720.52 × 2,582.40
  4. Step 4: Simplify right side
    6,478x = 25,102,270.85
  5. Step 5: Solve for x
    x = 25,102,270.85/6,478
  6. Step 6: Final answer
    x = 3,875.00

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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.