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Finding the Fourth Proportional to 10,390.71, 15,656.20 and 8,582.34

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Solution

The fourth proportional to 10,390.71, 15,656.20 and 8,582.34 is: 12,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.71 : 15,656.20 = 8,582.34 : x
  2. Step 2: Convert to fraction form
    10,390.71/15,656.20 = 8,582.34/x
  3. Step 3: Cross multiply
    10,390.71x = 15,656.20 × 8,582.34
  4. Step 4: Simplify right side
    10,390.71x = 134,366,831.51
  5. Step 5: Solve for x
    x = 134,366,831.51/10,390.71
  6. Step 6: Final answer
    x = 12,931.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.