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Finding the Fourth Proportional to 21,407.70, 32,111.55 and 9,743.70

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Solution

The fourth proportional to 21,407.70, 32,111.55 and 9,743.70 is: 14,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.70 : 32,111.55 = 9,743.70 : x
  2. Step 2: Convert to fraction form
    21,407.70/32,111.55 = 9,743.70/x
  3. Step 3: Cross multiply
    21,407.70x = 32,111.55 × 9,743.70
  4. Step 4: Simplify right side
    21,407.70x = 312,885,309.74
  5. Step 5: Solve for x
    x = 312,885,309.74/21,407.70
  6. Step 6: Final answer
    x = 14,615.55

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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.