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Finding the Fourth Proportional to 7,875.42, 11,817.86 and 7,068.66

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Solution

The fourth proportional to 7,875.42, 11,817.86 and 7,068.66 is: 10,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.42 : 11,817.86 = 7,068.66 : x
  2. Step 2: Convert to fraction form
    7,875.42/11,817.86 = 7,068.66/x
  3. Step 3: Cross multiply
    7,875.42x = 11,817.86 × 7,068.66
  4. Step 4: Simplify right side
    7,875.42x = 83,536,398.92
  5. Step 5: Solve for x
    x = 83,536,398.92/7,875.42
  6. Step 6: Final answer
    x = 10,607.23

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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.