Home / 5,113.16-7,669.75-1,415.40

Finding the Fourth Proportional to 5,113.16, 7,669.75 and 1,415.40

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Solution

The fourth proportional to 5,113.16, 7,669.75 and 1,415.40 is: 2,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.16 : 7,669.75 = 1,415.40 : x
  2. Step 2: Convert to fraction form
    5,113.16/7,669.75 = 1,415.40/x
  3. Step 3: Cross multiply
    5,113.16x = 7,669.75 × 1,415.40
  4. Step 4: Simplify right side
    5,113.16x = 10,855,728.31
  5. Step 5: Solve for x
    x = 10,855,728.31/5,113.16
  6. Step 6: Final answer
    x = 2,123.10

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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.