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Finding the Fourth Proportional to 13,242.99, 18,275.64 and 7,275.09

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Solution

The fourth proportional to 13,242.99, 18,275.64 and 7,275.09 is: 10,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.99 : 18,275.64 = 7,275.09 : x
  2. Step 2: Convert to fraction form
    13,242.99/18,275.64 = 7,275.09/x
  3. Step 3: Cross multiply
    13,242.99x = 18,275.64 × 7,275.09
  4. Step 4: Simplify right side
    13,242.99x = 132,956,925.81
  5. Step 5: Solve for x
    x = 132,956,925.81/13,242.99
  6. Step 6: Final answer
    x = 10,039.80

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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.