Home / 10,822.40-14,929.44-9,969.20

Finding the Fourth Proportional to 10,822.40, 14,929.44 and 9,969.20

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Solution

The fourth proportional to 10,822.40, 14,929.44 and 9,969.20 is: 13,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.40 : 14,929.44 = 9,969.20 : x
  2. Step 2: Convert to fraction form
    10,822.40/14,929.44 = 9,969.20/x
  3. Step 3: Cross multiply
    10,822.40x = 14,929.44 × 9,969.20
  4. Step 4: Simplify right side
    10,822.40x = 148,834,573.25
  5. Step 5: Solve for x
    x = 148,834,573.25/10,822.40
  6. Step 6: Final answer
    x = 13,752.46

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1.5x scale

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.