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Finding the Fourth Proportional to 19,407, 26,781.66 and 10,575

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Solution

The fourth proportional to 19,407, 26,781.66 and 10,575 is: 14,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407 : 26,781.66 = 10,575 : x
  2. Step 2: Convert to fraction form
    19,407/26,781.66 = 10,575/x
  3. Step 3: Cross multiply
    19,407x = 26,781.66 × 10,575
  4. Step 4: Simplify right side
    19,407x = 283,216,054.50
  5. Step 5: Solve for x
    x = 283,216,054.50/19,407
  6. Step 6: Final answer
    x = 14,593.50

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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.