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Finding the Fourth Proportional to 12,585.84, 17,367.40 and 7,281

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Solution

The fourth proportional to 12,585.84, 17,367.40 and 7,281 is: 10,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.84 : 17,367.40 = 7,281 : x
  2. Step 2: Convert to fraction form
    12,585.84/17,367.40 = 7,281/x
  3. Step 3: Cross multiply
    12,585.84x = 17,367.40 × 7,281
  4. Step 4: Simplify right side
    12,585.84x = 126,452,039.40
  5. Step 5: Solve for x
    x = 126,452,039.40/12,585.84
  6. Step 6: Final answer
    x = 10,047.17

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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.