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Finding the Fourth Proportional to 21,213, 31,807.80 and 14,557.32

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Solution

The fourth proportional to 21,213, 31,807.80 and 14,557.32 is: 21,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213 : 31,807.80 = 14,557.32 : x
  2. Step 2: Convert to fraction form
    21,213/31,807.80 = 14,557.32/x
  3. Step 3: Cross multiply
    21,213x = 31,807.80 × 14,557.32
  4. Step 4: Simplify right side
    21,213x = 463,036,323.10
  5. Step 5: Solve for x
    x = 463,036,323.10/21,213
  6. Step 6: Final answer
    x = 21,827.95

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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.