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Finding the Fourth Proportional to 13,646.65, 18,831.03 and 7,678.19

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Solution

The fourth proportional to 13,646.65, 18,831.03 and 7,678.19 is: 10,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.65 : 18,831.03 = 7,678.19 : x
  2. Step 2: Convert to fraction form
    13,646.65/18,831.03 = 7,678.19/x
  3. Step 3: Cross multiply
    13,646.65x = 18,831.03 × 7,678.19
  4. Step 4: Simplify right side
    13,646.65x = 144,588,226.24
  5. Step 5: Solve for x
    x = 144,588,226.24/13,646.65
  6. Step 6: Final answer
    x = 10,595.14

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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.