Home / 10,563.50-14,564.37-6,780

Finding the Fourth Proportional to 10,563.50, 14,564.37 and 6,780

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Solution

The fourth proportional to 10,563.50, 14,564.37 and 6,780 is: 9,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.50 : 14,564.37 = 6,780 : x
  2. Step 2: Convert to fraction form
    10,563.50/14,564.37 = 6,780/x
  3. Step 3: Cross multiply
    10,563.50x = 14,564.37 × 6,780
  4. Step 4: Simplify right side
    10,563.50x = 98,746,428.60
  5. Step 5: Solve for x
    x = 98,746,428.60/10,563.50
  6. Step 6: Final answer
    x = 9,347.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.