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Finding the Fourth Proportional to 6,528, 9,785.52 and 3,607.68

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Solution

The fourth proportional to 6,528, 9,785.52 and 3,607.68 is: 5,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528 : 9,785.52 = 3,607.68 : x
  2. Step 2: Convert to fraction form
    6,528/9,785.52 = 3,607.68/x
  3. Step 3: Cross multiply
    6,528x = 9,785.52 × 3,607.68
  4. Step 4: Simplify right side
    6,528x = 35,303,024.79
  5. Step 5: Solve for x
    x = 35,303,024.79/6,528
  6. Step 6: Final answer
    x = 5,407.94

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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.