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Finding the Fourth Proportional to 8,412.90, 12,643.65 and 7,343.70

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Solution

The fourth proportional to 8,412.90, 12,643.65 and 7,343.70 is: 11,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.90 : 12,643.65 = 7,343.70 : x
  2. Step 2: Convert to fraction form
    8,412.90/12,643.65 = 7,343.70/x
  3. Step 3: Cross multiply
    8,412.90x = 12,643.65 × 7,343.70
  4. Step 4: Simplify right side
    8,412.90x = 92,851,172.51
  5. Step 5: Solve for x
    x = 92,851,172.51/8,412.90
  6. Step 6: Final answer
    x = 11,036.76

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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.