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Finding the Fourth Proportional to 15,801.46, 21,810.36 and 9,829.58

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Solution

The fourth proportional to 15,801.46, 21,810.36 and 9,829.58 is: 13,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,801.46 : 21,810.36 = 9,829.58 : x
  2. Step 2: Convert to fraction form
    15,801.46/21,810.36 = 9,829.58/x
  3. Step 3: Cross multiply
    15,801.46x = 21,810.36 × 9,829.58
  4. Step 4: Simplify right side
    15,801.46x = 214,386,678.45
  5. Step 5: Solve for x
    x = 214,386,678.45/15,801.46
  6. Step 6: Final answer
    x = 13,567.52

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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.