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Finding the Fourth Proportional to 12,908.10, 19,368.08 and 7,653.53

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Solution

The fourth proportional to 12,908.10, 19,368.08 and 7,653.53 is: 11,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.10 : 19,368.08 = 7,653.53 : x
  2. Step 2: Convert to fraction form
    12,908.10/19,368.08 = 7,653.53/x
  3. Step 3: Cross multiply
    12,908.10x = 19,368.08 × 7,653.53
  4. Step 4: Simplify right side
    12,908.10x = 148,234,220.18
  5. Step 5: Solve for x
    x = 148,234,220.18/12,908.10
  6. Step 6: Final answer
    x = 11,483.81

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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.