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Finding the Fourth Proportional to 18,547.56, 27,826.50 and 9,780.12

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Solution

The fourth proportional to 18,547.56, 27,826.50 and 9,780.12 is: 14,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.56 : 27,826.50 = 9,780.12 : x
  2. Step 2: Convert to fraction form
    18,547.56/27,826.50 = 9,780.12/x
  3. Step 3: Cross multiply
    18,547.56x = 27,826.50 × 9,780.12
  4. Step 4: Simplify right side
    18,547.56x = 272,146,509.18
  5. Step 5: Solve for x
    x = 272,146,509.18/18,547.56
  6. Step 6: Final answer
    x = 14,672.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.