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Finding the Fourth Proportional to 5,430.52, 8,131.96 and 4,931.28

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Solution

The fourth proportional to 5,430.52, 8,131.96 and 4,931.28 is: 7,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.52 : 8,131.96 = 4,931.28 : x
  2. Step 2: Convert to fraction form
    5,430.52/8,131.96 = 4,931.28/x
  3. Step 3: Cross multiply
    5,430.52x = 8,131.96 × 4,931.28
  4. Step 4: Simplify right side
    5,430.52x = 40,100,971.71
  5. Step 5: Solve for x
    x = 40,100,971.71/5,430.52
  6. Step 6: Final answer
    x = 7,384.37

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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.