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Finding the Fourth Proportional to 13,931.50, 20,897.27 and 4,697.50

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Solution

The fourth proportional to 13,931.50, 20,897.27 and 4,697.50 is: 7,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.50 : 20,897.27 = 4,697.50 : x
  2. Step 2: Convert to fraction form
    13,931.50/20,897.27 = 4,697.50/x
  3. Step 3: Cross multiply
    13,931.50x = 20,897.27 × 4,697.50
  4. Step 4: Simplify right side
    13,931.50x = 98,164,925.83
  5. Step 5: Solve for x
    x = 98,164,925.83/13,931.50
  6. Step 6: Final answer
    x = 7,046.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.