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Finding the Fourth Proportional to 18,271.86, 27,407.70 and 6,585

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Solution

The fourth proportional to 18,271.86, 27,407.70 and 6,585 is: 9,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271.86 : 27,407.70 = 6,585 : x
  2. Step 2: Convert to fraction form
    18,271.86/27,407.70 = 6,585/x
  3. Step 3: Cross multiply
    18,271.86x = 27,407.70 × 6,585
  4. Step 4: Simplify right side
    18,271.86x = 180,479,704.50
  5. Step 5: Solve for x
    x = 180,479,704.50/18,271.86
  6. Step 6: Final answer
    x = 9,877.47

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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.