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Finding the Fourth Proportional to 7,587.80, 10,470.72 and 4,230.50

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Solution

The fourth proportional to 7,587.80, 10,470.72 and 4,230.50 is: 5,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.80 : 10,470.72 = 4,230.50 : x
  2. Step 2: Convert to fraction form
    7,587.80/10,470.72 = 4,230.50/x
  3. Step 3: Cross multiply
    7,587.80x = 10,470.72 × 4,230.50
  4. Step 4: Simplify right side
    7,587.80x = 44,296,328.61
  5. Step 5: Solve for x
    x = 44,296,328.61/7,587.80
  6. Step 6: Final answer
    x = 5,837.84

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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.