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Finding the Fourth Proportional to 13,440, 20,154.76 and 7,894.76

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Solution

The fourth proportional to 13,440, 20,154.76 and 7,894.76 is: 11,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440 : 20,154.76 = 7,894.76 : x
  2. Step 2: Convert to fraction form
    13,440/20,154.76 = 7,894.76/x
  3. Step 3: Cross multiply
    13,440x = 20,154.76 × 7,894.76
  4. Step 4: Simplify right side
    13,440x = 159,116,993.06
  5. Step 5: Solve for x
    x = 159,116,993.06/13,440
  6. Step 6: Final answer
    x = 11,839.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.