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Finding the Fourth Proportional to 12,312.83, 16,980.17 and 9,803.22

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Solution

The fourth proportional to 12,312.83, 16,980.17 and 9,803.22 is: 13,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.83 : 16,980.17 = 9,803.22 : x
  2. Step 2: Convert to fraction form
    12,312.83/16,980.17 = 9,803.22/x
  3. Step 3: Cross multiply
    12,312.83x = 16,980.17 × 9,803.22
  4. Step 4: Simplify right side
    12,312.83x = 166,460,293.13
  5. Step 5: Solve for x
    x = 166,460,293.13/12,312.83
  6. Step 6: Final answer
    x = 13,519.26

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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.