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Finding the Fourth Proportional to 14,457.78, 19,953.50 and 8,490

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Solution

The fourth proportional to 14,457.78, 19,953.50 and 8,490 is: 11,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.78 : 19,953.50 = 8,490 : x
  2. Step 2: Convert to fraction form
    14,457.78/19,953.50 = 8,490/x
  3. Step 3: Cross multiply
    14,457.78x = 19,953.50 × 8,490
  4. Step 4: Simplify right side
    14,457.78x = 169,405,215
  5. Step 5: Solve for x
    x = 169,405,215/14,457.78
  6. Step 6: Final answer
    x = 11,717.24

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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.