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Finding the Fourth Proportional to 19,770.84, 27,275.52 and 12,963

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Solution

The fourth proportional to 19,770.84, 27,275.52 and 12,963 is: 17,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.84 : 27,275.52 = 12,963 : x
  2. Step 2: Convert to fraction form
    19,770.84/27,275.52 = 12,963/x
  3. Step 3: Cross multiply
    19,770.84x = 27,275.52 × 12,963
  4. Step 4: Simplify right side
    19,770.84x = 353,572,565.76
  5. Step 5: Solve for x
    x = 353,572,565.76/19,770.84
  6. Step 6: Final answer
    x = 17,883.54

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1.5x scale

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.