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Finding the Fourth Proportional to 1,487.40, 2,053.62 and 928.10

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Solution

The fourth proportional to 1,487.40, 2,053.62 and 928.10 is: 1,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.40 : 2,053.62 = 928.10 : x
  2. Step 2: Convert to fraction form
    1,487.40/2,053.62 = 928.10/x
  3. Step 3: Cross multiply
    1,487.40x = 2,053.62 × 928.10
  4. Step 4: Simplify right side
    1,487.40x = 1,905,964.72
  5. Step 5: Solve for x
    x = 1,905,964.72/1,487.40
  6. Step 6: Final answer
    x = 1,281.41

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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.