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Finding the Fourth Proportional to 7,228.04, 9,963.80 and 5,653.40

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Solution

The fourth proportional to 7,228.04, 9,963.80 and 5,653.40 is: 7,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.04 : 9,963.80 = 5,653.40 : x
  2. Step 2: Convert to fraction form
    7,228.04/9,963.80 = 5,653.40/x
  3. Step 3: Cross multiply
    7,228.04x = 9,963.80 × 5,653.40
  4. Step 4: Simplify right side
    7,228.04x = 56,329,346.92
  5. Step 5: Solve for x
    x = 56,329,346.92/7,228.04
  6. Step 6: Final answer
    x = 7,793.17

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1.5x scale

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.