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Finding the Fourth Proportional to 4,345.68, 6,509.88 and 2,802

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Solution

The fourth proportional to 4,345.68, 6,509.88 and 2,802 is: 4,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.68 : 6,509.88 = 2,802 : x
  2. Step 2: Convert to fraction form
    4,345.68/6,509.88 = 2,802/x
  3. Step 3: Cross multiply
    4,345.68x = 6,509.88 × 2,802
  4. Step 4: Simplify right side
    4,345.68x = 18,240,683.76
  5. Step 5: Solve for x
    x = 18,240,683.76/4,345.68
  6. Step 6: Final answer
    x = 4,197.43

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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.