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Finding the Fourth Proportional to 19,520, 26,937.60 and 10,688

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Solution

The fourth proportional to 19,520, 26,937.60 and 10,688 is: 14,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,520 : 26,937.60 = 10,688 : x
  2. Step 2: Convert to fraction form
    19,520/26,937.60 = 10,688/x
  3. Step 3: Cross multiply
    19,520x = 26,937.60 × 10,688
  4. Step 4: Simplify right side
    19,520x = 287,909,068.80
  5. Step 5: Solve for x
    x = 287,909,068.80/19,520
  6. Step 6: Final answer
    x = 14,749.44

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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.