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Finding the Fourth Proportional to 9,854.64, 13,614.21 and 6,459.71

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Solution

The fourth proportional to 9,854.64, 13,614.21 and 6,459.71 is: 8,924.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.64 : 13,614.21 = 6,459.71 : x
  2. Step 2: Convert to fraction form
    9,854.64/13,614.21 = 6,459.71/x
  3. Step 3: Cross multiply
    9,854.64x = 13,614.21 × 6,459.71
  4. Step 4: Simplify right side
    9,854.64x = 87,943,780.41
  5. Step 5: Solve for x
    x = 87,943,780.41/9,854.64
  6. Step 6: Final answer
    x = 8,924.10

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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.