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Finding the Fourth Proportional to 6,407.54, 9,623.60 and 5,312.15

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Solution

The fourth proportional to 6,407.54, 9,623.60 and 5,312.15 is: 7,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.54 : 9,623.60 = 5,312.15 : x
  2. Step 2: Convert to fraction form
    6,407.54/9,623.60 = 5,312.15/x
  3. Step 3: Cross multiply
    6,407.54x = 9,623.60 × 5,312.15
  4. Step 4: Simplify right side
    6,407.54x = 51,121,932.06
  5. Step 5: Solve for x
    x = 51,121,932.06/6,407.54
  6. Step 6: Final answer
    x = 7,978.41

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1.5x scale

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.