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Finding the Fourth Proportional to 15,698.61, 21,661.98 and 9,728.10

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Solution

The fourth proportional to 15,698.61, 21,661.98 and 9,728.10 is: 13,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.61 : 21,661.98 = 9,728.10 : x
  2. Step 2: Convert to fraction form
    15,698.61/21,661.98 = 9,728.10/x
  3. Step 3: Cross multiply
    15,698.61x = 21,661.98 × 9,728.10
  4. Step 4: Simplify right side
    15,698.61x = 210,729,925.88
  5. Step 5: Solve for x
    x = 210,729,925.88/15,698.61
  6. Step 6: Final answer
    x = 13,423.48

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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.