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Finding the Fourth Proportional to 8,970.36, 12,371.72 and 7,962.81

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Solution

The fourth proportional to 8,970.36, 12,371.72 and 7,962.81 is: 10,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.36 : 12,371.72 = 7,962.81 : x
  2. Step 2: Convert to fraction form
    8,970.36/12,371.72 = 7,962.81/x
  3. Step 3: Cross multiply
    8,970.36x = 12,371.72 × 7,962.81
  4. Step 4: Simplify right side
    8,970.36x = 98,513,615.92
  5. Step 5: Solve for x
    x = 98,513,615.92/8,970.36
  6. Step 6: Final answer
    x = 10,982.13

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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.