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Finding the Fourth Proportional to 13,748.64, 18,973.08 and 7,461.24

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Solution

The fourth proportional to 13,748.64, 18,973.08 and 7,461.24 is: 10,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,748.64 : 18,973.08 = 7,461.24 : x
  2. Step 2: Convert to fraction form
    13,748.64/18,973.08 = 7,461.24/x
  3. Step 3: Cross multiply
    13,748.64x = 18,973.08 × 7,461.24
  4. Step 4: Simplify right side
    13,748.64x = 141,562,703.42
  5. Step 5: Solve for x
    x = 141,562,703.42/13,748.64
  6. Step 6: Final answer
    x = 10,296.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.