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Finding the Fourth Proportional to 10,971.80, 16,457.70 and 8,784.80

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Solution

The fourth proportional to 10,971.80, 16,457.70 and 8,784.80 is: 13,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.80 : 16,457.70 = 8,784.80 : x
  2. Step 2: Convert to fraction form
    10,971.80/16,457.70 = 8,784.80/x
  3. Step 3: Cross multiply
    10,971.80x = 16,457.70 × 8,784.80
  4. Step 4: Simplify right side
    10,971.80x = 144,577,602.96
  5. Step 5: Solve for x
    x = 144,577,602.96/10,971.80
  6. Step 6: Final answer
    x = 13,177.20

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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.