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Finding the Fourth Proportional to 14,431.50, 19,915.47 and 7,807.50

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Solution

The fourth proportional to 14,431.50, 19,915.47 and 7,807.50 is: 10,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.50 : 19,915.47 = 7,807.50 : x
  2. Step 2: Convert to fraction form
    14,431.50/19,915.47 = 7,807.50/x
  3. Step 3: Cross multiply
    14,431.50x = 19,915.47 × 7,807.50
  4. Step 4: Simplify right side
    14,431.50x = 155,490,032.03
  5. Step 5: Solve for x
    x = 155,490,032.03/14,431.50
  6. Step 6: Final answer
    x = 10,774.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.