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Finding the Fourth Proportional to 15,857.68, 21,883.68 and 10,278.40

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Solution

The fourth proportional to 15,857.68, 21,883.68 and 10,278.40 is: 14,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.68 : 21,883.68 = 10,278.40 : x
  2. Step 2: Convert to fraction form
    15,857.68/21,883.68 = 10,278.40/x
  3. Step 3: Cross multiply
    15,857.68x = 21,883.68 × 10,278.40
  4. Step 4: Simplify right side
    15,857.68x = 224,929,216.51
  5. Step 5: Solve for x
    x = 224,929,216.51/15,857.68
  6. Step 6: Final answer
    x = 14,184.24

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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.