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Finding the Fourth Proportional to 8,802.96, 13,190.46 and 7,151.46

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Solution

The fourth proportional to 8,802.96, 13,190.46 and 7,151.46 is: 10,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.96 : 13,190.46 = 7,151.46 : x
  2. Step 2: Convert to fraction form
    8,802.96/13,190.46 = 7,151.46/x
  3. Step 3: Cross multiply
    8,802.96x = 13,190.46 × 7,151.46
  4. Step 4: Simplify right side
    8,802.96x = 94,331,047.07
  5. Step 5: Solve for x
    x = 94,331,047.07/8,802.96
  6. Step 6: Final answer
    x = 10,715.83

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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.