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Finding the Fourth Proportional to 13,378, 18,461.64 and 7,792.72

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Solution

The fourth proportional to 13,378, 18,461.64 and 7,792.72 is: 10,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378 : 18,461.64 = 7,792.72 : x
  2. Step 2: Convert to fraction form
    13,378/18,461.64 = 7,792.72/x
  3. Step 3: Cross multiply
    13,378x = 18,461.64 × 7,792.72
  4. Step 4: Simplify right side
    13,378x = 143,866,391.26
  5. Step 5: Solve for x
    x = 143,866,391.26/13,378
  6. Step 6: Final answer
    x = 10,753.95

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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.