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Finding the Fourth Proportional to 13,853, 19,117.14 and 7,565.38

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Solution

The fourth proportional to 13,853, 19,117.14 and 7,565.38 is: 10,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853 : 19,117.14 = 7,565.38 : x
  2. Step 2: Convert to fraction form
    13,853/19,117.14 = 7,565.38/x
  3. Step 3: Cross multiply
    13,853x = 19,117.14 × 7,565.38
  4. Step 4: Simplify right side
    13,853x = 144,628,428.61
  5. Step 5: Solve for x
    x = 144,628,428.61/13,853
  6. Step 6: Final answer
    x = 10,440.22

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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.