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Finding the Fourth Proportional to 13,459.64, 18,574.16 and 7,491.20

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Solution

The fourth proportional to 13,459.64, 18,574.16 and 7,491.20 is: 10,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.64 : 18,574.16 = 7,491.20 : x
  2. Step 2: Convert to fraction form
    13,459.64/18,574.16 = 7,491.20/x
  3. Step 3: Cross multiply
    13,459.64x = 18,574.16 × 7,491.20
  4. Step 4: Simplify right side
    13,459.64x = 139,142,747.39
  5. Step 5: Solve for x
    x = 139,142,747.39/13,459.64
  6. Step 6: Final answer
    x = 10,337.78

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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.