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Finding the Fourth Proportional to 14,048.64, 19,384.32 and 8,460

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Solution

The fourth proportional to 14,048.64, 19,384.32 and 8,460 is: 11,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.64 : 19,384.32 = 8,460 : x
  2. Step 2: Convert to fraction form
    14,048.64/19,384.32 = 8,460/x
  3. Step 3: Cross multiply
    14,048.64x = 19,384.32 × 8,460
  4. Step 4: Simplify right side
    14,048.64x = 163,991,347.20
  5. Step 5: Solve for x
    x = 163,991,347.20/14,048.64
  6. Step 6: Final answer
    x = 11,673.11

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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.