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Finding the Fourth Proportional to 11,565, 15,958.74 and 6,530.40

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Solution

The fourth proportional to 11,565, 15,958.74 and 6,530.40 is: 9,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 15,958.74 = 6,530.40 : x
  2. Step 2: Convert to fraction form
    11,565/15,958.74 = 6,530.40/x
  3. Step 3: Cross multiply
    11,565x = 15,958.74 × 6,530.40
  4. Step 4: Simplify right side
    11,565x = 104,216,955.70
  5. Step 5: Solve for x
    x = 104,216,955.70/11,565
  6. Step 6: Final answer
    x = 9,011.41

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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.