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Finding the Fourth Proportional to 10,307.64, 15,426.90 and 8,458.68

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Solution

The fourth proportional to 10,307.64, 15,426.90 and 8,458.68 is: 12,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.64 : 15,426.90 = 8,458.68 : x
  2. Step 2: Convert to fraction form
    10,307.64/15,426.90 = 8,458.68/x
  3. Step 3: Cross multiply
    10,307.64x = 15,426.90 × 8,458.68
  4. Step 4: Simplify right side
    10,307.64x = 130,491,210.49
  5. Step 5: Solve for x
    x = 130,491,210.49/10,307.64
  6. Step 6: Final answer
    x = 12,659.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.