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Finding the Fourth Proportional to 14,312.40, 19,753.32 and 8,346

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Solution

The fourth proportional to 14,312.40, 19,753.32 and 8,346 is: 11,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.40 : 19,753.32 = 8,346 : x
  2. Step 2: Convert to fraction form
    14,312.40/19,753.32 = 8,346/x
  3. Step 3: Cross multiply
    14,312.40x = 19,753.32 × 8,346
  4. Step 4: Simplify right side
    14,312.40x = 164,861,208.72
  5. Step 5: Solve for x
    x = 164,861,208.72/14,312.40
  6. Step 6: Final answer
    x = 11,518.77

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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.