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Finding the Fourth Proportional to 14,547.84, 21,825 and 7,970.64

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Solution

The fourth proportional to 14,547.84, 21,825 and 7,970.64 is: 11,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.84 : 21,825 = 7,970.64 : x
  2. Step 2: Convert to fraction form
    14,547.84/21,825 = 7,970.64/x
  3. Step 3: Cross multiply
    14,547.84x = 21,825 × 7,970.64
  4. Step 4: Simplify right side
    14,547.84x = 173,959,218
  5. Step 5: Solve for x
    x = 173,959,218/14,547.84
  6. Step 6: Final answer
    x = 11,957.74

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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.