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Finding the Fourth Proportional to 9,984.99, 14,987.40 and 5,305.04

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Solution

The fourth proportional to 9,984.99, 14,987.40 and 5,305.04 is: 7,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.99 : 14,987.40 = 5,305.04 : x
  2. Step 2: Convert to fraction form
    9,984.99/14,987.40 = 5,305.04/x
  3. Step 3: Cross multiply
    9,984.99x = 14,987.40 × 5,305.04
  4. Step 4: Simplify right side
    9,984.99x = 79,508,756.50
  5. Step 5: Solve for x
    x = 79,508,756.50/9,984.99
  6. Step 6: Final answer
    x = 7,962.83

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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.