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Finding the Fourth Proportional to 7,148.64, 9,812.52 and 6,345.12

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Solution

The fourth proportional to 7,148.64, 9,812.52 and 6,345.12 is: 8,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.64 : 9,812.52 = 6,345.12 : x
  2. Step 2: Convert to fraction form
    7,148.64/9,812.52 = 6,345.12/x
  3. Step 3: Cross multiply
    7,148.64x = 9,812.52 × 6,345.12
  4. Step 4: Simplify right side
    7,148.64x = 62,261,616.90
  5. Step 5: Solve for x
    x = 62,261,616.90/7,148.64
  6. Step 6: Final answer
    x = 8,709.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.