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Finding the Fourth Proportional to 14,191.32, 19,584 and 7,905.18

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Solution

The fourth proportional to 14,191.32, 19,584 and 7,905.18 is: 10,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.32 : 19,584 = 7,905.18 : x
  2. Step 2: Convert to fraction form
    14,191.32/19,584 = 7,905.18/x
  3. Step 3: Cross multiply
    14,191.32x = 19,584 × 7,905.18
  4. Step 4: Simplify right side
    14,191.32x = 154,815,045.12
  5. Step 5: Solve for x
    x = 154,815,045.12/14,191.32
  6. Step 6: Final answer
    x = 10,909.14

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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.