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Finding the Fourth Proportional to 10,130.80, 13,792.96 and 10,099.60

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Solution

The fourth proportional to 10,130.80, 13,792.96 and 10,099.60 is: 13,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.80 : 13,792.96 = 10,099.60 : x
  2. Step 2: Convert to fraction form
    10,130.80/13,792.96 = 10,099.60/x
  3. Step 3: Cross multiply
    10,130.80x = 13,792.96 × 10,099.60
  4. Step 4: Simplify right side
    10,130.80x = 139,303,378.82
  5. Step 5: Solve for x
    x = 139,303,378.82/10,130.80
  6. Step 6: Final answer
    x = 13,750.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.