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Finding the Fourth Proportional to 9,720.56, 13,412.85 and 5,528

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Solution

The fourth proportional to 9,720.56, 13,412.85 and 5,528 is: 7,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.56 : 13,412.85 = 5,528 : x
  2. Step 2: Convert to fraction form
    9,720.56/13,412.85 = 5,528/x
  3. Step 3: Cross multiply
    9,720.56x = 13,412.85 × 5,528
  4. Step 4: Simplify right side
    9,720.56x = 74,146,234.80
  5. Step 5: Solve for x
    x = 74,146,234.80/9,720.56
  6. Step 6: Final answer
    x = 7,627.77

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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.