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Finding the Fourth Proportional to 7,312.61, 10,970.53 and 3,414.89

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Solution

The fourth proportional to 7,312.61, 10,970.53 and 3,414.89 is: 5,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.61 : 10,970.53 = 3,414.89 : x
  2. Step 2: Convert to fraction form
    7,312.61/10,970.53 = 3,414.89/x
  3. Step 3: Cross multiply
    7,312.61x = 10,970.53 × 3,414.89
  4. Step 4: Simplify right side
    7,312.61x = 37,463,153.19
  5. Step 5: Solve for x
    x = 37,463,153.19/7,312.61
  6. Step 6: Final answer
    x = 5,123.09

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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.