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Finding the Fourth Proportional to 1,530.40, 2,114.40 and 1,413.76

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Solution

The fourth proportional to 1,530.40, 2,114.40 and 1,413.76 is: 1,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.40 : 2,114.40 = 1,413.76 : x
  2. Step 2: Convert to fraction form
    1,530.40/2,114.40 = 1,413.76/x
  3. Step 3: Cross multiply
    1,530.40x = 2,114.40 × 1,413.76
  4. Step 4: Simplify right side
    1,530.40x = 2,989,254.14
  5. Step 5: Solve for x
    x = 2,989,254.14/1,530.40
  6. Step 6: Final answer
    x = 1,953.25

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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.