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Finding the Fourth Proportional to 6,430.32, 9,648.72 and 2,970

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Solution

The fourth proportional to 6,430.32, 9,648.72 and 2,970 is: 4,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.32 : 9,648.72 = 2,970 : x
  2. Step 2: Convert to fraction form
    6,430.32/9,648.72 = 2,970/x
  3. Step 3: Cross multiply
    6,430.32x = 9,648.72 × 2,970
  4. Step 4: Simplify right side
    6,430.32x = 28,656,698.40
  5. Step 5: Solve for x
    x = 28,656,698.40/6,430.32
  6. Step 6: Final answer
    x = 4,456.50

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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.