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Finding the Fourth Proportional to 21,670.47, 32,509.74 and 6,875.40

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Solution

The fourth proportional to 21,670.47, 32,509.74 and 6,875.40 is: 10,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.47 : 32,509.74 = 6,875.40 : x
  2. Step 2: Convert to fraction form
    21,670.47/32,509.74 = 6,875.40/x
  3. Step 3: Cross multiply
    21,670.47x = 32,509.74 × 6,875.40
  4. Step 4: Simplify right side
    21,670.47x = 223,517,466.40
  5. Step 5: Solve for x
    x = 223,517,466.40/21,670.47
  6. Step 6: Final answer
    x = 10,314.38

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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.