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Finding the Fourth Proportional to 7,643.68, 11,446.08 and 5,038.72

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Solution

The fourth proportional to 7,643.68, 11,446.08 and 5,038.72 is: 7,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.68 : 11,446.08 = 5,038.72 : x
  2. Step 2: Convert to fraction form
    7,643.68/11,446.08 = 5,038.72/x
  3. Step 3: Cross multiply
    7,643.68x = 11,446.08 × 5,038.72
  4. Step 4: Simplify right side
    7,643.68x = 57,673,592.22
  5. Step 5: Solve for x
    x = 57,673,592.22/7,643.68
  6. Step 6: Final answer
    x = 7,545.27

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1.5x scale

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.