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Finding the Fourth Proportional to 10,698.60, 16,127.97 and 9,985.08

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Solution

The fourth proportional to 10,698.60, 16,127.97 and 9,985.08 is: 15,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.60 : 16,127.97 = 9,985.08 : x
  2. Step 2: Convert to fraction form
    10,698.60/16,127.97 = 9,985.08/x
  3. Step 3: Cross multiply
    10,698.60x = 16,127.97 × 9,985.08
  4. Step 4: Simplify right side
    10,698.60x = 161,039,070.69
  5. Step 5: Solve for x
    x = 161,039,070.69/10,698.60
  6. Step 6: Final answer
    x = 15,052.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.