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Finding the Fourth Proportional to 10,146.84, 14,002.50 and 5,670.66

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Solution

The fourth proportional to 10,146.84, 14,002.50 and 5,670.66 is: 7,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.84 : 14,002.50 = 5,670.66 : x
  2. Step 2: Convert to fraction form
    10,146.84/14,002.50 = 5,670.66/x
  3. Step 3: Cross multiply
    10,146.84x = 14,002.50 × 5,670.66
  4. Step 4: Simplify right side
    10,146.84x = 79,403,416.65
  5. Step 5: Solve for x
    x = 79,403,416.65/10,146.84
  6. Step 6: Final answer
    x = 7,825.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.