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Finding the Fourth Proportional to 10,291.84, 15,437.70 and 2,500.65

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Solution

The fourth proportional to 10,291.84, 15,437.70 and 2,500.65 is: 3,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.84 : 15,437.70 = 2,500.65 : x
  2. Step 2: Convert to fraction form
    10,291.84/15,437.70 = 2,500.65/x
  3. Step 3: Cross multiply
    10,291.84x = 15,437.70 × 2,500.65
  4. Step 4: Simplify right side
    10,291.84x = 38,604,284.51
  5. Step 5: Solve for x
    x = 38,604,284.51/10,291.84
  6. Step 6: Final answer
    x = 3,750.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.