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Finding the Fourth Proportional to 9,985.14, 13,793.49 and 7,205.22

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Solution

The fourth proportional to 9,985.14, 13,793.49 and 7,205.22 is: 9,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.14 : 13,793.49 = 7,205.22 : x
  2. Step 2: Convert to fraction form
    9,985.14/13,793.49 = 7,205.22/x
  3. Step 3: Cross multiply
    9,985.14x = 13,793.49 × 7,205.22
  4. Step 4: Simplify right side
    9,985.14x = 99,385,130.02
  5. Step 5: Solve for x
    x = 99,385,130.02/9,985.14
  6. Step 6: Final answer
    x = 9,953.30

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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.