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Finding the Fourth Proportional to 12,653.16, 18,966.24 and 6,417.78

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Solution

The fourth proportional to 12,653.16, 18,966.24 and 6,417.78 is: 9,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.16 : 18,966.24 = 6,417.78 : x
  2. Step 2: Convert to fraction form
    12,653.16/18,966.24 = 6,417.78/x
  3. Step 3: Cross multiply
    12,653.16x = 18,966.24 × 6,417.78
  4. Step 4: Simplify right side
    12,653.16x = 121,721,155.75
  5. Step 5: Solve for x
    x = 121,721,155.75/12,653.16
  6. Step 6: Final answer
    x = 9,619.82

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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.