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Finding the Fourth Proportional to 14,889, 20,547.42 and 8,174.90

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Solution

The fourth proportional to 14,889, 20,547.42 and 8,174.90 is: 11,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889 : 20,547.42 = 8,174.90 : x
  2. Step 2: Convert to fraction form
    14,889/20,547.42 = 8,174.90/x
  3. Step 3: Cross multiply
    14,889x = 20,547.42 × 8,174.90
  4. Step 4: Simplify right side
    14,889x = 167,973,103.76
  5. Step 5: Solve for x
    x = 167,973,103.76/14,889
  6. Step 6: Final answer
    x = 11,281.69

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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.