Home / 10,506.16-15,769-5,315.68

Finding the Fourth Proportional to 10,506.16, 15,769 and 5,315.68

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Solution

The fourth proportional to 10,506.16, 15,769 and 5,315.68 is: 7,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.16 : 15,769 = 5,315.68 : x
  2. Step 2: Convert to fraction form
    10,506.16/15,769 = 5,315.68/x
  3. Step 3: Cross multiply
    10,506.16x = 15,769 × 5,315.68
  4. Step 4: Simplify right side
    10,506.16x = 83,822,957.92
  5. Step 5: Solve for x
    x = 83,822,957.92/10,506.16
  6. Step 6: Final answer
    x = 7,978.46

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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.