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Finding the Fourth Proportional to 21,690.76, 32,537.06 and 6,898.14

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Solution

The fourth proportional to 21,690.76, 32,537.06 and 6,898.14 is: 10,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.76 : 32,537.06 = 6,898.14 : x
  2. Step 2: Convert to fraction form
    21,690.76/32,537.06 = 6,898.14/x
  3. Step 3: Cross multiply
    21,690.76x = 32,537.06 × 6,898.14
  4. Step 4: Simplify right side
    21,690.76x = 224,445,195.07
  5. Step 5: Solve for x
    x = 224,445,195.07/21,690.76
  6. Step 6: Final answer
    x = 10,347.50

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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.