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Finding the Fourth Proportional to 10,757.76, 14,831.76 and 7,394.40

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Solution

The fourth proportional to 10,757.76, 14,831.76 and 7,394.40 is: 10,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.76 : 14,831.76 = 7,394.40 : x
  2. Step 2: Convert to fraction form
    10,757.76/14,831.76 = 7,394.40/x
  3. Step 3: Cross multiply
    10,757.76x = 14,831.76 × 7,394.40
  4. Step 4: Simplify right side
    10,757.76x = 109,671,966.14
  5. Step 5: Solve for x
    x = 109,671,966.14/10,757.76
  6. Step 6: Final answer
    x = 10,194.68

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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.