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Finding the Fourth Proportional to 10,778.74, 16,089.11 and 9,987.20

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Solution

The fourth proportional to 10,778.74, 16,089.11 and 9,987.20 is: 14,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.74 : 16,089.11 = 9,987.20 : x
  2. Step 2: Convert to fraction form
    10,778.74/16,089.11 = 9,987.20/x
  3. Step 3: Cross multiply
    10,778.74x = 16,089.11 × 9,987.20
  4. Step 4: Simplify right side
    10,778.74x = 160,685,159.39
  5. Step 5: Solve for x
    x = 160,685,159.39/10,778.74
  6. Step 6: Final answer
    x = 14,907.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.