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Finding the Fourth Proportional to 12,457.80, 17,191.62 and 7,152.48

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Solution

The fourth proportional to 12,457.80, 17,191.62 and 7,152.48 is: 9,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.80 : 17,191.62 = 7,152.48 : x
  2. Step 2: Convert to fraction form
    12,457.80/17,191.62 = 7,152.48/x
  3. Step 3: Cross multiply
    12,457.80x = 17,191.62 × 7,152.48
  4. Step 4: Simplify right side
    12,457.80x = 122,962,718.22
  5. Step 5: Solve for x
    x = 122,962,718.22/12,457.80
  6. Step 6: Final answer
    x = 9,870.34

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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.