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Finding the Fourth Proportional to 5,630.76, 8,444.04 and 1,931.94

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Solution

The fourth proportional to 5,630.76, 8,444.04 and 1,931.94 is: 2,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.76 : 8,444.04 = 1,931.94 : x
  2. Step 2: Convert to fraction form
    5,630.76/8,444.04 = 1,931.94/x
  3. Step 3: Cross multiply
    5,630.76x = 8,444.04 × 1,931.94
  4. Step 4: Simplify right side
    5,630.76x = 16,313,378.64
  5. Step 5: Solve for x
    x = 16,313,378.64/5,630.76
  6. Step 6: Final answer
    x = 2,897.19

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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.