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Finding the Fourth Proportional to 12,501.60, 17,253.60 and 9,142.80

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Solution

The fourth proportional to 12,501.60, 17,253.60 and 9,142.80 is: 12,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.60 : 17,253.60 = 9,142.80 : x
  2. Step 2: Convert to fraction form
    12,501.60/17,253.60 = 9,142.80/x
  3. Step 3: Cross multiply
    12,501.60x = 17,253.60 × 9,142.80
  4. Step 4: Simplify right side
    12,501.60x = 157,746,214.08
  5. Step 5: Solve for x
    x = 157,746,214.08/12,501.60
  6. Step 6: Final answer
    x = 12,618.08

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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.