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Finding the Fourth Proportional to 10,368.80, 14,309.04 and 5,653.40

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Solution

The fourth proportional to 10,368.80, 14,309.04 and 5,653.40 is: 7,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.80 : 14,309.04 = 5,653.40 : x
  2. Step 2: Convert to fraction form
    10,368.80/14,309.04 = 5,653.40/x
  3. Step 3: Cross multiply
    10,368.80x = 14,309.04 × 5,653.40
  4. Step 4: Simplify right side
    10,368.80x = 80,894,726.74
  5. Step 5: Solve for x
    x = 80,894,726.74/10,368.80
  6. Step 6: Final answer
    x = 7,801.74

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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.