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Finding the Fourth Proportional to 13,412.76, 18,509.49 and 7,748.70

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Solution

The fourth proportional to 13,412.76, 18,509.49 and 7,748.70 is: 10,693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.76 : 18,509.49 = 7,748.70 : x
  2. Step 2: Convert to fraction form
    13,412.76/18,509.49 = 7,748.70/x
  3. Step 3: Cross multiply
    13,412.76x = 18,509.49 × 7,748.70
  4. Step 4: Simplify right side
    13,412.76x = 143,424,485.16
  5. Step 5: Solve for x
    x = 143,424,485.16/13,412.76
  6. Step 6: Final answer
    x = 10,693.14

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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.