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Finding the Fourth Proportional to 6,430.48, 8,875.16 and 3,743.25

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Solution

The fourth proportional to 6,430.48, 8,875.16 and 3,743.25 is: 5,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.48 : 8,875.16 = 3,743.25 : x
  2. Step 2: Convert to fraction form
    6,430.48/8,875.16 = 3,743.25/x
  3. Step 3: Cross multiply
    6,430.48x = 8,875.16 × 3,743.25
  4. Step 4: Simplify right side
    6,430.48x = 33,221,942.67
  5. Step 5: Solve for x
    x = 33,221,942.67/6,430.48
  6. Step 6: Final answer
    x = 5,166.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.