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Finding the Fourth Proportional to 6,555.52, 9,870.25 and 5,780.53

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Solution

The fourth proportional to 6,555.52, 9,870.25 and 5,780.53 is: 8,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.52 : 9,870.25 = 5,780.53 : x
  2. Step 2: Convert to fraction form
    6,555.52/9,870.25 = 5,780.53/x
  3. Step 3: Cross multiply
    6,555.52x = 9,870.25 × 5,780.53
  4. Step 4: Simplify right side
    6,555.52x = 57,055,276.23
  5. Step 5: Solve for x
    x = 57,055,276.23/6,555.52
  6. Step 6: Final answer
    x = 8,703.39

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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.