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Finding the Fourth Proportional to 5,326.41, 7,990.10 and 1,430.79

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Solution

The fourth proportional to 5,326.41, 7,990.10 and 1,430.79 is: 2,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.41 : 7,990.10 = 1,430.79 : x
  2. Step 2: Convert to fraction form
    5,326.41/7,990.10 = 1,430.79/x
  3. Step 3: Cross multiply
    5,326.41x = 7,990.10 × 1,430.79
  4. Step 4: Simplify right side
    5,326.41x = 11,432,155.18
  5. Step 5: Solve for x
    x = 11,432,155.18/5,326.41
  6. Step 6: Final answer
    x = 2,146.32

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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.