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Finding the Fourth Proportional to 5,207.70, 7,312.65 and 5,207.70

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Solution

The fourth proportional to 5,207.70, 7,312.65 and 5,207.70 is: 7,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.70 : 7,312.65 = 5,207.70 : x
  2. Step 2: Convert to fraction form
    5,207.70/7,312.65 = 5,207.70/x
  3. Step 3: Cross multiply
    5,207.70x = 7,312.65 × 5,207.70
  4. Step 4: Simplify right side
    5,207.70x = 38,082,087.41
  5. Step 5: Solve for x
    x = 38,082,087.41/5,207.70
  6. Step 6: Final answer
    x = 7,312.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.