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Finding the Fourth Proportional to 6,430, 9,640.68 and 5,177.20

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Solution

The fourth proportional to 6,430, 9,640.68 and 5,177.20 is: 7,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430 : 9,640.68 = 5,177.20 : x
  2. Step 2: Convert to fraction form
    6,430/9,640.68 = 5,177.20/x
  3. Step 3: Cross multiply
    6,430x = 9,640.68 × 5,177.20
  4. Step 4: Simplify right side
    6,430x = 49,911,728.50
  5. Step 5: Solve for x
    x = 49,911,728.50/6,430
  6. Step 6: Final answer
    x = 7,762.32

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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.