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Finding the Fourth Proportional to 8,430.86, 11,628 and 7,176.03

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Solution

The fourth proportional to 8,430.86, 11,628 and 7,176.03 is: 9,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.86 : 11,628 = 7,176.03 : x
  2. Step 2: Convert to fraction form
    8,430.86/11,628 = 7,176.03/x
  3. Step 3: Cross multiply
    8,430.86x = 11,628 × 7,176.03
  4. Step 4: Simplify right side
    8,430.86x = 83,442,876.84
  5. Step 5: Solve for x
    x = 83,442,876.84/8,430.86
  6. Step 6: Final answer
    x = 9,897.32

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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.