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Finding the Fourth Proportional to 10,643, 14,689.20 and 8,121.20

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Solution

The fourth proportional to 10,643, 14,689.20 and 8,121.20 is: 11,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643 : 14,689.20 = 8,121.20 : x
  2. Step 2: Convert to fraction form
    10,643/14,689.20 = 8,121.20/x
  3. Step 3: Cross multiply
    10,643x = 14,689.20 × 8,121.20
  4. Step 4: Simplify right side
    10,643x = 119,293,931.04
  5. Step 5: Solve for x
    x = 119,293,931.04/10,643
  6. Step 6: Final answer
    x = 11,208.68

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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.