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Finding the Fourth Proportional to 5,253.89, 7,878.42 and 1,554.80

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Solution

The fourth proportional to 5,253.89, 7,878.42 and 1,554.80 is: 2,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.89 : 7,878.42 = 1,554.80 : x
  2. Step 2: Convert to fraction form
    5,253.89/7,878.42 = 1,554.80/x
  3. Step 3: Cross multiply
    5,253.89x = 7,878.42 × 1,554.80
  4. Step 4: Simplify right side
    5,253.89x = 12,249,328.02
  5. Step 5: Solve for x
    x = 12,249,328.02/5,253.89
  6. Step 6: Final answer
    x = 2,331.48

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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.