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Finding the Fourth Proportional to 10,521, 14,519.16 and 6,801.48

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Solution

The fourth proportional to 10,521, 14,519.16 and 6,801.48 is: 9,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 14,519.16 = 6,801.48 : x
  2. Step 2: Convert to fraction form
    10,521/14,519.16 = 6,801.48/x
  3. Step 3: Cross multiply
    10,521x = 14,519.16 × 6,801.48
  4. Step 4: Simplify right side
    10,521x = 98,751,776.36
  5. Step 5: Solve for x
    x = 98,751,776.36/10,521
  6. Step 6: Final answer
    x = 9,386.16

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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.