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Finding the Fourth Proportional to 21,929, 32,897.06 and 8,594.77

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Solution

The fourth proportional to 21,929, 32,897.06 and 8,594.77 is: 12,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929 : 32,897.06 = 8,594.77 : x
  2. Step 2: Convert to fraction form
    21,929/32,897.06 = 8,594.77/x
  3. Step 3: Cross multiply
    21,929x = 32,897.06 × 8,594.77
  4. Step 4: Simplify right side
    21,929x = 282,742,664.38
  5. Step 5: Solve for x
    x = 282,742,664.38/21,929
  6. Step 6: Final answer
    x = 12,893.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.