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Finding the Fourth Proportional to 11,429.04, 15,766.32 and 7,394.40

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Solution

The fourth proportional to 11,429.04, 15,766.32 and 7,394.40 is: 10,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.04 : 15,766.32 = 7,394.40 : x
  2. Step 2: Convert to fraction form
    11,429.04/15,766.32 = 7,394.40/x
  3. Step 3: Cross multiply
    11,429.04x = 15,766.32 × 7,394.40
  4. Step 4: Simplify right side
    11,429.04x = 116,582,476.61
  5. Step 5: Solve for x
    x = 116,582,476.61/11,429.04
  6. Step 6: Final answer
    x = 10,200.55

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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.