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Finding the Fourth Proportional to 15,703.66, 21,680.02 and 10,405.65

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Solution

The fourth proportional to 15,703.66, 21,680.02 and 10,405.65 is: 14,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.66 : 21,680.02 = 10,405.65 : x
  2. Step 2: Convert to fraction form
    15,703.66/21,680.02 = 10,405.65/x
  3. Step 3: Cross multiply
    15,703.66x = 21,680.02 × 10,405.65
  4. Step 4: Simplify right side
    15,703.66x = 225,594,700.11
  5. Step 5: Solve for x
    x = 225,594,700.11/15,703.66
  6. Step 6: Final answer
    x = 14,365.74

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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.