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Finding the Fourth Proportional to 10,212.30, 15,318.45 and 8,916.30

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Solution

The fourth proportional to 10,212.30, 15,318.45 and 8,916.30 is: 13,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.30 : 15,318.45 = 8,916.30 : x
  2. Step 2: Convert to fraction form
    10,212.30/15,318.45 = 8,916.30/x
  3. Step 3: Cross multiply
    10,212.30x = 15,318.45 × 8,916.30
  4. Step 4: Simplify right side
    10,212.30x = 136,583,895.74
  5. Step 5: Solve for x
    x = 136,583,895.74/10,212.30
  6. Step 6: Final answer
    x = 13,374.45

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1.5x scale

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.