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Finding the Fourth Proportional to 21,802.76, 32,709 and 7,951.76

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Solution

The fourth proportional to 21,802.76, 32,709 and 7,951.76 is: 11,929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802.76 : 32,709 = 7,951.76 : x
  2. Step 2: Convert to fraction form
    21,802.76/32,709 = 7,951.76/x
  3. Step 3: Cross multiply
    21,802.76x = 32,709 × 7,951.76
  4. Step 4: Simplify right side
    21,802.76x = 260,094,117.84
  5. Step 5: Solve for x
    x = 260,094,117.84/21,802.76
  6. Step 6: Final answer
    x = 11,929.41

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1.5x scale

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.