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Finding the Fourth Proportional to 8,547.50, 12,821.26 and 2,391.50

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Solution

The fourth proportional to 8,547.50, 12,821.26 and 2,391.50 is: 3,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.50 : 12,821.26 = 2,391.50 : x
  2. Step 2: Convert to fraction form
    8,547.50/12,821.26 = 2,391.50/x
  3. Step 3: Cross multiply
    8,547.50x = 12,821.26 × 2,391.50
  4. Step 4: Simplify right side
    8,547.50x = 30,662,043.29
  5. Step 5: Solve for x
    x = 30,662,043.29/8,547.50
  6. Step 6: Final answer
    x = 3,587.25

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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.