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Finding the Fourth Proportional to 14,985.87, 20,688.78 and 9,019

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Solution

The fourth proportional to 14,985.87, 20,688.78 and 9,019 is: 12,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.87 : 20,688.78 = 9,019 : x
  2. Step 2: Convert to fraction form
    14,985.87/20,688.78 = 9,019/x
  3. Step 3: Cross multiply
    14,985.87x = 20,688.78 × 9,019
  4. Step 4: Simplify right side
    14,985.87x = 186,592,106.82
  5. Step 5: Solve for x
    x = 186,592,106.82/14,985.87
  6. Step 6: Final answer
    x = 12,451.21

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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.