Home / 9,712-14,566.76-3,137.50

Finding the Fourth Proportional to 9,712, 14,566.76 and 3,137.50

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Solution

The fourth proportional to 9,712, 14,566.76 and 3,137.50 is: 4,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 14,566.76 = 3,137.50 : x
  2. Step 2: Convert to fraction form
    9,712/14,566.76 = 3,137.50/x
  3. Step 3: Cross multiply
    9,712x = 14,566.76 × 3,137.50
  4. Step 4: Simplify right side
    9,712x = 45,703,209.50
  5. Step 5: Solve for x
    x = 45,703,209.50/9,712
  6. Step 6: Final answer
    x = 4,705.85

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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.