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Finding the Fourth Proportional to 6,407.40, 8,842.50 and 4,279.20

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Solution

The fourth proportional to 6,407.40, 8,842.50 and 4,279.20 is: 5,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.40 : 8,842.50 = 4,279.20 : x
  2. Step 2: Convert to fraction form
    6,407.40/8,842.50 = 4,279.20/x
  3. Step 3: Cross multiply
    6,407.40x = 8,842.50 × 4,279.20
  4. Step 4: Simplify right side
    6,407.40x = 37,838,826
  5. Step 5: Solve for x
    x = 37,838,826/6,407.40
  6. Step 6: Final answer
    x = 5,905.49

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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.