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Finding the Fourth Proportional to 13,098.89, 18,076.44 and 7,130.54

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Solution

The fourth proportional to 13,098.89, 18,076.44 and 7,130.54 is: 9,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.89 : 18,076.44 = 7,130.54 : x
  2. Step 2: Convert to fraction form
    13,098.89/18,076.44 = 7,130.54/x
  3. Step 3: Cross multiply
    13,098.89x = 18,076.44 × 7,130.54
  4. Step 4: Simplify right side
    13,098.89x = 128,894,688.10
  5. Step 5: Solve for x
    x = 128,894,688.10/13,098.89
  6. Step 6: Final answer
    x = 9,840.13

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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.