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Finding the Fourth Proportional to 10,154.61, 14,014.66 and 5,678.61

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Solution

The fourth proportional to 10,154.61, 14,014.66 and 5,678.61 is: 7,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.61 : 14,014.66 = 5,678.61 : x
  2. Step 2: Convert to fraction form
    10,154.61/14,014.66 = 5,678.61/x
  3. Step 3: Cross multiply
    10,154.61x = 14,014.66 × 5,678.61
  4. Step 4: Simplify right side
    10,154.61x = 79,583,704.15
  5. Step 5: Solve for x
    x = 79,583,704.15/10,154.61
  6. Step 6: Final answer
    x = 7,837.20

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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.