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Finding the Fourth Proportional to 19,026.50, 26,256.57 and 10,643

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Solution

The fourth proportional to 19,026.50, 26,256.57 and 10,643 is: 14,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,026.50 : 26,256.57 = 10,643 : x
  2. Step 2: Convert to fraction form
    19,026.50/26,256.57 = 10,643/x
  3. Step 3: Cross multiply
    19,026.50x = 26,256.57 × 10,643
  4. Step 4: Simplify right side
    19,026.50x = 279,448,674.51
  5. Step 5: Solve for x
    x = 279,448,674.51/19,026.50
  6. Step 6: Final answer
    x = 14,687.34

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1.5x scale

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.