Home / 20,985.80-31,475.16-7,834.64

Finding the Fourth Proportional to 20,985.80, 31,475.16 and 7,834.64

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Solution

The fourth proportional to 20,985.80, 31,475.16 and 7,834.64 is: 11,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985.80 : 31,475.16 = 7,834.64 : x
  2. Step 2: Convert to fraction form
    20,985.80/31,475.16 = 7,834.64/x
  3. Step 3: Cross multiply
    20,985.80x = 31,475.16 × 7,834.64
  4. Step 4: Simplify right side
    20,985.80x = 246,596,547.54
  5. Step 5: Solve for x
    x = 246,596,547.54/20,985.80
  6. Step 6: Final answer
    x = 11,750.64

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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.