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Finding the Fourth Proportional to 8,543.07, 11,784.96 and 7,421.49

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Solution

The fourth proportional to 8,543.07, 11,784.96 and 7,421.49 is: 10,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.07 : 11,784.96 = 7,421.49 : x
  2. Step 2: Convert to fraction form
    8,543.07/11,784.96 = 7,421.49/x
  3. Step 3: Cross multiply
    8,543.07x = 11,784.96 × 7,421.49
  4. Step 4: Simplify right side
    8,543.07x = 87,461,962.79
  5. Step 5: Solve for x
    x = 87,461,962.79/8,543.07
  6. Step 6: Final answer
    x = 10,237.77

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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.