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Finding the Fourth Proportional to 3,160.59, 4,737.61 and 1,312.71

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Solution

The fourth proportional to 3,160.59, 4,737.61 and 1,312.71 is: 1,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.59 : 4,737.61 = 1,312.71 : x
  2. Step 2: Convert to fraction form
    3,160.59/4,737.61 = 1,312.71/x
  3. Step 3: Cross multiply
    3,160.59x = 4,737.61 × 1,312.71
  4. Step 4: Simplify right side
    3,160.59x = 6,219,108.02
  5. Step 5: Solve for x
    x = 6,219,108.02/3,160.59
  6. Step 6: Final answer
    x = 1,967.70

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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.