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Finding the Fourth Proportional to 10,134.84, 13,985.93 and 5,658.66

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Solution

The fourth proportional to 10,134.84, 13,985.93 and 5,658.66 is: 7,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.84 : 13,985.93 = 5,658.66 : x
  2. Step 2: Convert to fraction form
    10,134.84/13,985.93 = 5,658.66/x
  3. Step 3: Cross multiply
    10,134.84x = 13,985.93 × 5,658.66
  4. Step 4: Simplify right side
    10,134.84x = 79,141,636.80
  5. Step 5: Solve for x
    x = 79,141,636.80/10,134.84
  6. Step 6: Final answer
    x = 7,808.87

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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.