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Finding the Fourth Proportional to 7,957.50, 10,987.83 and 6,899.10

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Solution

The fourth proportional to 7,957.50, 10,987.83 and 6,899.10 is: 9,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.50 : 10,987.83 = 6,899.10 : x
  2. Step 2: Convert to fraction form
    7,957.50/10,987.83 = 6,899.10/x
  3. Step 3: Cross multiply
    7,957.50x = 10,987.83 × 6,899.10
  4. Step 4: Simplify right side
    7,957.50x = 75,806,137.95
  5. Step 5: Solve for x
    x = 75,806,137.95/7,957.50
  6. Step 6: Final answer
    x = 9,526.38

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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.