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Finding the Fourth Proportional to 19,752.64, 29,637.16 and 8,653.60

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Solution

The fourth proportional to 19,752.64, 29,637.16 and 8,653.60 is: 12,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.64 : 29,637.16 = 8,653.60 : x
  2. Step 2: Convert to fraction form
    19,752.64/29,637.16 = 8,653.60/x
  3. Step 3: Cross multiply
    19,752.64x = 29,637.16 × 8,653.60
  4. Step 4: Simplify right side
    19,752.64x = 256,468,127.78
  5. Step 5: Solve for x
    x = 256,468,127.78/19,752.64
  6. Step 6: Final answer
    x = 12,983.99

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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.