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Finding the Fourth Proportional to 5,114.16, 7,678.08 and 4,948.09

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Solution

The fourth proportional to 5,114.16, 7,678.08 and 4,948.09 is: 7,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.16 : 7,678.08 = 4,948.09 : x
  2. Step 2: Convert to fraction form
    5,114.16/7,678.08 = 4,948.09/x
  3. Step 3: Cross multiply
    5,114.16x = 7,678.08 × 4,948.09
  4. Step 4: Simplify right side
    5,114.16x = 37,991,804.71
  5. Step 5: Solve for x
    x = 37,991,804.71/5,114.16
  6. Step 6: Final answer
    x = 7,428.74

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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.