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Finding the Fourth Proportional to 12,756.18, 19,118.97 and 5,358

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Solution

The fourth proportional to 12,756.18, 19,118.97 and 5,358 is: 8,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.18 : 19,118.97 = 5,358 : x
  2. Step 2: Convert to fraction form
    12,756.18/19,118.97 = 5,358/x
  3. Step 3: Cross multiply
    12,756.18x = 19,118.97 × 5,358
  4. Step 4: Simplify right side
    12,756.18x = 102,439,441.26
  5. Step 5: Solve for x
    x = 102,439,441.26/12,756.18
  6. Step 6: Final answer
    x = 8,030.57

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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.