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Finding the Fourth Proportional to 7,603.50, 10,432.80 and 7,185.54

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Solution

The fourth proportional to 7,603.50, 10,432.80 and 7,185.54 is: 9,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.50 : 10,432.80 = 7,185.54 : x
  2. Step 2: Convert to fraction form
    7,603.50/10,432.80 = 7,185.54/x
  3. Step 3: Cross multiply
    7,603.50x = 10,432.80 × 7,185.54
  4. Step 4: Simplify right side
    7,603.50x = 74,965,301.71
  5. Step 5: Solve for x
    x = 74,965,301.71/7,603.50
  6. Step 6: Final answer
    x = 9,859.32

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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.