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Finding the Fourth Proportional to 13,354.00, 18,428.64 and 7,386.07

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Solution

The fourth proportional to 13,354.00, 18,428.64 and 7,386.07 is: 10,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.00 : 18,428.64 = 7,386.07 : x
  2. Step 2: Convert to fraction form
    13,354.00/18,428.64 = 7,386.07/x
  3. Step 3: Cross multiply
    13,354.00x = 18,428.64 × 7,386.07
  4. Step 4: Simplify right side
    13,354.00x = 136,115,132.90
  5. Step 5: Solve for x
    x = 136,115,132.90/13,354.00
  6. Step 6: Final answer
    x = 10,192.84

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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.