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Finding the Fourth Proportional to 19,289, 26,618.98 and 10,457

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Solution

The fourth proportional to 19,289, 26,618.98 and 10,457 is: 14,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,289 : 26,618.98 = 10,457 : x
  2. Step 2: Convert to fraction form
    19,289/26,618.98 = 10,457/x
  3. Step 3: Cross multiply
    19,289x = 26,618.98 × 10,457
  4. Step 4: Simplify right side
    19,289x = 278,354,673.86
  5. Step 5: Solve for x
    x = 278,354,673.86/19,289
  6. Step 6: Final answer
    x = 14,430.75

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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.