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Finding the Fourth Proportional to 10,055.80, 13,877.84 and 5,581

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Solution

The fourth proportional to 10,055.80, 13,877.84 and 5,581 is: 7,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.80 : 13,877.84 = 5,581 : x
  2. Step 2: Convert to fraction form
    10,055.80/13,877.84 = 5,581/x
  3. Step 3: Cross multiply
    10,055.80x = 13,877.84 × 5,581
  4. Step 4: Simplify right side
    10,055.80x = 77,452,225.04
  5. Step 5: Solve for x
    x = 77,452,225.04/10,055.80
  6. Step 6: Final answer
    x = 7,702.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.