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Finding the Fourth Proportional to 5,897.60, 8,130.13 and 4,123.70

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Solution

The fourth proportional to 5,897.60, 8,130.13 and 4,123.70 is: 5,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.60 : 8,130.13 = 4,123.70 : x
  2. Step 2: Convert to fraction form
    5,897.60/8,130.13 = 4,123.70/x
  3. Step 3: Cross multiply
    5,897.60x = 8,130.13 × 4,123.70
  4. Step 4: Simplify right side
    5,897.60x = 33,526,166.12
  5. Step 5: Solve for x
    x = 33,526,166.12/5,897.60
  6. Step 6: Final answer
    x = 5,684.72

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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.