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Finding the Fourth Proportional to 3,855.63, 5,783.45 and 1,547.13

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Solution

The fourth proportional to 3,855.63, 5,783.45 and 1,547.13 is: 2,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.63 : 5,783.45 = 1,547.13 : x
  2. Step 2: Convert to fraction form
    3,855.63/5,783.45 = 1,547.13/x
  3. Step 3: Cross multiply
    3,855.63x = 5,783.45 × 1,547.13
  4. Step 4: Simplify right side
    3,855.63x = 8,947,741.26
  5. Step 5: Solve for x
    x = 8,947,741.26/3,855.63
  6. Step 6: Final answer
    x = 2,320.70

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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.